diff --git a/internal/otelarrow/test/e2e_test.go b/internal/otelarrow/test/e2e_test.go
index 68bd8780a2d1..5ab64be914d7 100644
--- a/internal/otelarrow/test/e2e_test.go
+++ b/internal/otelarrow/test/e2e_test.go
@@ -680,6 +680,7 @@ func TestIntegrationAdmissionLimited(t *testing.T) {
 				requestWhileTrue: func(test *testConsumer) bool {
 					return test.sink.SpanCount() < 10000
 				},
+				missingDeadline: true,
 			}
 
 			var ending func(*testing.T, testParams, *testConsumer, [][]ptrace.Traces) (_, _ map[string]int)
@@ -712,12 +713,11 @@ func TestIntegrationAdmissionLimited(t *testing.T) {
 
 				ecfg.Arrow.NumStreams = 10
 
-				// Shorten timeouts for this test, because we intend
-				// for it to fail and don't want to wait for retries.
-				ecfg.TimeoutSettings.Timeout = 5 * time.Second
-				ecfg.RetryConfig.InitialInterval = 1 * time.Second
-				ecfg.RetryConfig.MaxInterval = 2 * time.Second
-				ecfg.RetryConfig.MaxElapsedTime = 10 * time.Second
+				// Disable export timeout and retry,
+				// because we expect progress to be
+				// slow for this test.
+				ecfg.TimeoutSettings.Timeout = 0
+				ecfg.RetryConfig.Enabled = false
 				ecfg.Arrow.MaxStreamLifetime = 5 * time.Second
 			}, nearLimitGenFunc(), consumerFailure, ending)
 		})