diff --git a/src/_pytest/fixtures.py b/src/_pytest/fixtures.py
index 6b882fa351..a77e5c446b 100644
--- a/src/_pytest/fixtures.py
+++ b/src/_pytest/fixtures.py
@@ -137,7 +137,7 @@ def get_scope_package(
 def get_scope_node(node: nodes.Node, scope: Scope) -> nodes.Node | None:
     import _pytest.python
 
-    if scope is Scope.Function:
+    if scope is Scope.Function or scope is Scope.Invocation:
         # Type ignored because this is actually safe, see:
         # https://github.com/python/mypy/issues/4717
         return node.getparent(nodes.Item)  # type: ignore[type-abstract]
@@ -185,7 +185,7 @@ def get_parametrized_fixture_argkeys(
 ) -> Iterator[FixtureArgKey]:
     """Return list of keys for all parametrized arguments which match
     the specified scope."""
-    assert scope is not Scope.Function
+    assert scope in HIGH_SCOPES
 
     try:
         callspec: CallSpec2 = item.callspec  # type: ignore[attr-defined]
@@ -534,6 +534,14 @@ def getfixturevalue(self, argname: str) -> Any:
             f'The fixture value for "{argname}" is not available.  '
             "This can happen when the fixture has already been torn down."
         )
+
+        if (
+            isinstance(fixturedef, FixtureDef)
+            and fixturedef is not None
+            and fixturedef.scope == Scope.Invocation.value
+        ):
+            self._fixture_defs.pop(argname)
+
         return fixturedef.cached_result[0]
 
     def _iter_chain(self) -> Iterator[SubRequest]:
@@ -614,9 +622,18 @@ def _get_active_fixturedef(
         )
 
         # Make sure the fixture value is cached, running it if it isn't
-        fixturedef.execute(request=subrequest)
+        try:
+            fixturedef.execute(request=subrequest)
+            self._fixture_defs[argname] = fixturedef
+        finally:
+            for arg_name in fixturedef.argnames:
+                arg_fixture = self._fixture_defs.get(arg_name)
+                if (
+                    arg_fixture is not None
+                    and arg_fixture.scope == Scope.Invocation.value
+                ):
+                    self._fixture_defs.pop(arg_name)
 
-        self._fixture_defs[argname] = fixturedef
         return fixturedef
 
     def _check_fixturedef_without_param(self, fixturedef: FixtureDef[object]) -> None:
@@ -757,7 +774,10 @@ def _check_scope(
         requested_fixturedef: FixtureDef[object] | PseudoFixtureDef[object],
         requested_scope: Scope,
     ) -> None:
-        if isinstance(requested_fixturedef, PseudoFixtureDef):
+        if (
+            isinstance(requested_fixturedef, PseudoFixtureDef)
+            or requested_scope == Scope.Invocation
+        ):
             return
         if self._scope > requested_scope:
             # Try to report something helpful.
@@ -1054,7 +1074,7 @@ def execute(self, request: SubRequest) -> FixtureValue:
                 requested_fixtures_that_should_finalize_us.append(fixturedef)
 
         # Check for (and return) cached value/exception.
-        if self.cached_result is not None:
+        if self.cached_result is not None and self.scope != Scope.Invocation.value:
             request_cache_key = self.cache_key(request)
             cache_key = self.cached_result[1]
             try:
diff --git a/src/_pytest/scope.py b/src/_pytest/scope.py
index 976a3ba242..d274e1eca1 100644
--- a/src/_pytest/scope.py
+++ b/src/_pytest/scope.py
@@ -15,7 +15,7 @@
 from typing import Literal
 
 
-_ScopeName = Literal["session", "package", "module", "class", "function"]
+_ScopeName = Literal["session", "package", "module", "class", "function", "invocation"]
 
 
 @total_ordering
@@ -33,6 +33,7 @@ class Scope(Enum):
     """
 
     # Scopes need to be listed from lower to higher.
+    Invocation: _ScopeName = "invocation"
     Function: _ScopeName = "function"
     Class: _ScopeName = "class"
     Module: _ScopeName = "module"
@@ -88,4 +89,6 @@ def from_user(
 
 
 # Ordered list of scopes which can contain many tests (in practice all except Function).
-HIGH_SCOPES = [x for x in Scope if x is not Scope.Function]
+HIGH_SCOPES = [
+    x for x in Scope if x is not Scope.Function and x is not Scope.Invocation
+]
diff --git a/testing/test_no_cache.py b/testing/test_no_cache.py
new file mode 100644
index 0000000000..76169d5afd
--- /dev/null
+++ b/testing/test_no_cache.py
@@ -0,0 +1,124 @@
+from __future__ import annotations
+
+from _pytest.pytester import Pytester
+
+
+def test_setup_teardown_executed_for_every_fixture_usage_without_caching(
+    pytester: Pytester,
+) -> None:
+    pytester.makepyfile(
+        """
+        import pytest
+        import logging
+
+        @pytest.fixture(scope="invocation")
+        def fixt():
+            logging.info("&&Setting up fixt&&")
+            yield
+            logging.info("&&Tearing down fixt&&")
+
+
+        @pytest.fixture()
+        def a(fixt):
+            ...
+
+
+        @pytest.fixture()
+        def b(fixt):
+            ...
+
+
+        def test(a, b, fixt):
+            assert False
+    """
+    )
+
+    result = pytester.runpytest("--log-level=INFO")
+    assert result.ret == 1
+    result.stdout.fnmatch_lines(
+        [
+            *["*&&Setting up fixt&&*"] * 3,
+            *["*&&Tearing down fixt&&*"] * 3,
+        ]
+    )
+
+
+def test_setup_teardown_executed_for_every_getfixturevalue_usage_without_caching(
+    pytester: Pytester,
+) -> None:
+    pytester.makepyfile(
+        """
+        import pytest
+        import logging
+
+        @pytest.fixture(scope="invocation")
+        def fixt():
+            logging.info("&&Setting up fixt&&")
+            yield
+            logging.info("&&Tearing down fixt&&")
+
+
+        def test(request):
+            random_nums = [request.getfixturevalue('fixt') for _ in range(3)]
+            assert False
+    """
+    )
+    result = pytester.runpytest("--log-level=INFO")
+    assert result.ret == 1
+    result.stdout.fnmatch_lines(
+        [
+            *["*&&Setting up fixt&&*"] * 3,
+            *["*&&Tearing down fixt&&*"] * 3,
+        ]
+    )
+
+
+def test_non_cached_fixture_generates_unique_values_per_usage(
+    pytester: Pytester,
+) -> None:
+    pytester.makepyfile(
+        """
+        import pytest
+
+        @pytest.fixture(scope="invocation")
+        def random_num():
+            import random
+            return random.randint(-100_000_000_000, 100_000_000_000)
+
+
+        @pytest.fixture()
+        def a(random_num):
+            return random_num
+
+
+        @pytest.fixture()
+        def b(random_num):
+            return random_num
+
+
+        def test(a, b, random_num):
+            assert a != b != random_num
+    """
+    )
+    pytester.runpytest().assert_outcomes(passed=1)
+
+
+def test_non_cached_fixture_generates_unique_values_per_getfixturevalue_usage(
+    pytester: Pytester,
+) -> None:
+    pytester.makepyfile(
+        """
+        import pytest
+
+        @pytest.fixture(scope="invocation")
+        def random_num():
+            import random
+            yield random.randint(-100_000_000_000, 100_000_000_000)
+
+
+        def test(request):
+            random_nums = [request.getfixturevalue('random_num') for _ in range(3)]
+            assert random_nums[0] != random_nums[1] != random_nums[2]
+    """
+    )
+    pytester.runpytest().assert_outcomes(passed=1)
diff --git a/testing/test_scope.py b/testing/test_scope.py
index 3cb811469a..0bf3e01a04 100644
--- a/testing/test_scope.py
+++ b/testing/test_scope.py
@@ -18,9 +18,10 @@ def test_next_lower() -> None:
     assert Scope.Package.next_lower() is Scope.Module
     assert Scope.Module.next_lower() is Scope.Class
     assert Scope.Class.next_lower() is Scope.Function
+    assert Scope.Function.next_lower() is Scope.Invocation
 
-    with pytest.raises(ValueError, match="Function is the lower-most scope"):
-        Scope.Function.next_lower()
+    with pytest.raises(ValueError, match="Invocation is the lower-most scope"):
+        Scope.Invocation.next_lower()
 
 
 def test_next_higher() -> None: