diff --git a/client/my-sites/stats/feedback/index.tsx b/client/my-sites/stats/feedback/index.tsx
index a1445b0f7833d..6c7ca1b9847ec 100644
--- a/client/my-sites/stats/feedback/index.tsx
+++ b/client/my-sites/stats/feedback/index.tsx
@@ -1,42 +1,108 @@
 import { Button } from '@wordpress/components';
+import { close } from '@wordpress/icons';
 import { useTranslate } from 'i18n-calypso';
 import { useState } from 'react';
 import FeedbackModal from './modal';
 
 import './style.scss';
 
-function StatsFeedbackCard() {
+const FEEDBACK_ACTION_LEAVE_REVIEW = 'feedback-action-leave-review';
+const FEEDBACK_ACTION_SEND_FEEDBACK = 'feedback-action-send-feedback';
+const FEEDBACK_ACTION_DISMISS_FLOATING_PANEL = 'feedback-action-dismiss-floating-panel';
+
+interface FeedbackProps {
+	clickHandler: ( action: string ) => void;
+}
+
+interface FeedbackPanelProps {
+	clickHandler: ( action: string ) => void;
+	isOpen: boolean;
+}
+
+function FeedbackContent( { clickHandler }: FeedbackProps ) {
 	const translate = useTranslate();
-	const [ isOpen, setIsOpen ] = useState( false );
 
 	const ctaText = translate( 'How do you rate your overall experience with Jetpack Stats?' );
 	const primaryButtonText = translate( 'Love it? Leave a review' );
 	const secondaryButtonText = translate( 'Not a fan? Help us improve' );
 
-	const handleClickWriteReview = () => {};
+	const handleLeaveReview = () => {
+		clickHandler( FEEDBACK_ACTION_LEAVE_REVIEW );
+	};
 
-	const handleClickSendFeedback = () => {
-		setIsOpen( true );
+	const handleSendFeedback = () => {
+		clickHandler( FEEDBACK_ACTION_SEND_FEEDBACK );
 	};
 
 	return (
-		<div className="stats-feedback-container">
-			<div className="stats-feedback-card">
-				<div className="stats-feedback-card__cta">{ ctaText }</div>
-				<div className="stats-feedback-card__actions">
-					<Button variant="secondary" onClick={ handleClickWriteReview }>
-						<span className="stats-feedback-card__emoji">😍</span>
-						{ primaryButtonText }
-					</Button>
-					<Button variant="secondary" onClick={ handleClickSendFeedback }>
-						<span className="stats-feedback-card__emoji">😠</span>
-						{ secondaryButtonText }
-					</Button>
-				</div>
-				<FeedbackModal isOpen={ isOpen } onClose={ () => setIsOpen( false ) } />
+		<div className="stats-feedback-content">
+			<div className="stats-feedback-content__cta">{ ctaText }</div>
+			<div className="stats-feedback-content__actions">
+				<Button variant="secondary" onClick={ handleLeaveReview }>
+					<span className="stats-feedback-content__emoji">😍</span>
+					{ primaryButtonText }
+				</Button>
+				<Button variant="secondary" onClick={ handleSendFeedback }>
+					<span className="stats-feedback-content__emoji">😠</span>
+					{ secondaryButtonText }
+				</Button>
 			</div>
 		</div>
 	);
 }
 
-export default StatsFeedbackCard;
+function FeedbackPanel( { isOpen, clickHandler }: FeedbackPanelProps ) {
+	const translate = useTranslate();
+
+	const handleCloseButtonClicked = () => {
+		clickHandler( FEEDBACK_ACTION_DISMISS_FLOATING_PANEL );
+	};
+
+	if ( ! isOpen ) {
+		return null;
+	}
+
+	return (
+		<div className="stats-feedback-panel">
+			<Button
+				className="stats-feedback-panel__close-button"
+				onClick={ handleCloseButtonClicked }
+				icon={ close }
+				label={ translate( 'Close' ) }
+			/>
+			<FeedbackContent clickHandler={ clickHandler } />
+		</div>
+	);
+}
+
+function FeedbackCard( { clickHandler }: FeedbackProps ) {
+	return (
+		<div className="stats-feedback-card">
+			<FeedbackContent clickHandler={ clickHandler } />
+		</div>
+	);
+}
+
+function StatsFeedbackController() {
+	const [ isOpen, setIsOpen ] = useState( false );
+	const [ isFloatingPanelOpen, setIsFloatingPanelOpen ] = useState( true );
+
+	const handleButtonClick = ( action: string ) => {
+		if ( action === FEEDBACK_ACTION_SEND_FEEDBACK ) {
+			setIsOpen( true );
+		}
+		if ( action === FEEDBACK_ACTION_DISMISS_FLOATING_PANEL ) {
+			setIsFloatingPanelOpen( false );
+		}
+	};
+
+	return (
+		<div className="stats-feedback-container">
+			<FeedbackCard clickHandler={ handleButtonClick } />
+			<FeedbackPanel isOpen={ isFloatingPanelOpen } clickHandler={ handleButtonClick } />
+			<FeedbackModal isOpen={ isOpen } onClose={ () => setIsOpen( false ) } />
+		</div>
+	);
+}
+
+export default StatsFeedbackController;
diff --git a/client/my-sites/stats/feedback/style.scss b/client/my-sites/stats/feedback/style.scss
index f2c8933f50ee2..fac49de6d06bc 100644
--- a/client/my-sites/stats/feedback/style.scss
+++ b/client/my-sites/stats/feedback/style.scss
@@ -1,6 +1,37 @@
 @import "@automattic/components/src/styles/typography";
 @import "@wordpress/base-styles/breakpoints";
 
+.stats-feedback-content {
+	font-family: $font-sf-pro-text;
+	font-size: $font-body-small;
+	font-weight: 400;
+	line-height: 21px;
+	letter-spacing: -0.24px;
+	color: var(--studio-gray-100);
+}
+
+.stats-feedback-content__actions {
+	display: flex;
+	flex-direction: column;
+
+	.components-button {
+		margin-bottom: 6px;
+		width: fit-content;
+		font-weight: 500;
+		font-size: $font-body-small;
+		border-radius: 4px;
+	}
+}
+
+.stats-feedback-content__cta {
+	margin: 0 16px 16px 0;
+}
+
+.stats-feedback-content__emoji {
+	font-size: larger;
+	margin-right: 6px;
+}
+
 .stats-feedback-card {
 	background: var(--studio-white);
 	border: 1px solid var(--studio-gray-5);
@@ -15,47 +46,59 @@
 		border-right: none;
 	}
 
-	display: flex;
-	flex-direction: column;
+	.stats-feedback-content {
+		display: flex;
+		flex-direction: column;
 
-	@media (min-width: $break-wide) {
-		flex-direction: row;
-		justify-content: space-between;
-		align-items: center;
+		@media (min-width: $break-wide) {
+			flex-direction: row;
+			justify-content: space-between;
+			align-items: center;
+		}
 	}
 
-	font-family: $font-sf-pro-text;
-	font-size: $font-body-small;
-	font-weight: 400;
-	line-height: 21px;
-	letter-spacing: -0.24px;
-}
-
-.stats-feedback-card__cta {
-	@media (max-width: $break-wide) {
-		margin-bottom: 12px;
+	.stats-feedback-content__cta {
+		@media (min-width: $break-wide) {
+			margin-right: 12px;
+			margin-bottom: 0;
+		}
 	}
-}
 
-.stats-feedback-card__actions {
-	display: flex;
-	flex-direction: column;
+	.stats-feedback-content__actions {
+		@media (min-width: $break-wide) {
+			flex-direction: row;
 
-	.components-button {
-		margin: 6px 0;
-		width: fit-content;
+			.components-button {
+				margin-left: 6px;
+				margin-bottom: 0;
+			}
+		}
 	}
+}
 
-	@media (min-width: $break-wide) {
-		flex-direction: row;
+.stats-feedback-panel {
+	position: fixed;
+	bottom: 24px;
+	right: 24px;
+	z-index: 10;
 
-		.components-button {
-			margin: 0 6px;
-		}
-	}
+	border: 1px solid var(--studio-gray-5);
+	border-radius: 8px; // stylelint-disable-line scales/radii
+	padding: 24px;
+	width: 300px;
+	box-sizing: border-box;
+	box-shadow: 0 10px 20px 0 #00000014;
+
+	background-color: var(--studio-white);
 }
 
-.stats-feedback-card__emoji {
-	font-size: larger;
-	margin-right: 6px;
+.stats-feedback-panel__close-button {
+	position: absolute;
+	top: 10px;
+	right: 10px;
+
+	svg {
+		width: 14px;
+		height: 14px;
+	}
 }
diff --git a/client/my-sites/stats/site.jsx b/client/my-sites/stats/site.jsx
index 140ef34009499..3d6d52a76b647 100644
--- a/client/my-sites/stats/site.jsx
+++ b/client/my-sites/stats/site.jsx
@@ -58,7 +58,7 @@ import StatsModuleSearch from './features/modules/stats-search';
 import StatsModuleTopPosts from './features/modules/stats-top-posts';
 import StatsModuleUTM, { StatsModuleUTMOverlay } from './features/modules/stats-utm';
 import StatsModuleVideos from './features/modules/stats-videos';
-import StatsFeedbackCard from './feedback';
+import StatsFeedbackController from './feedback';
 import HighlightsSection from './highlights-section';
 import { shouldGateStats } from './hooks/use-should-gate-stats';
 import MiniCarousel from './mini-carousel';
@@ -242,7 +242,7 @@ class StatsSite extends Component {
 			shouldForceDefaultDateRange,
 		} = this.props;
 		const isNewStateEnabled = config.isEnabled( 'stats/empty-module-traffic' );
-		const isFeedbackCardEnabled = config.isEnabled( 'stats/user-feedback' );
+		const isUserFeedbackEnabled = config.isEnabled( 'stats/user-feedback' );
 		let defaultPeriod = PAST_SEVEN_DAYS;
 
 		const shouldShowUpsells = isOdysseyStats && ! isAtomic;
@@ -810,7 +810,7 @@ class StatsSite extends Component {
 					<AsyncLoad require="calypso/my-sites/stats/jetpack-upsell-section" />
 				) }
 				<PromoCards isOdysseyStats={ isOdysseyStats } pageSlug="traffic" slug={ slug } />
-				{ isFeedbackCardEnabled && <StatsFeedbackCard /> }
+				{ isUserFeedbackEnabled && <StatsFeedbackController /> }
 				<JetpackColophon />
 				<AsyncLoad require="calypso/lib/analytics/track-resurrections" placeholder={ null } />
 				{ this.props.upsellModalView && <StatsUpsellModal siteId={ siteId } /> }