diff --git a/status/status.go b/status/status.go
index af2cffe985c0..6d163b6e3842 100644
--- a/status/status.go
+++ b/status/status.go
@@ -29,6 +29,7 @@ package status
 
 import (
 	"context"
+	"errors"
 	"fmt"
 
 	spb "google.golang.org/genproto/googleapis/rpc/status"
@@ -117,18 +118,18 @@ func Code(err error) codes.Code {
 	return codes.Unknown
 }
 
-// FromContextError converts a context error into a Status.  It returns a
-// Status with codes.OK if err is nil, or a Status with codes.Unknown if err is
-// non-nil and not a context error.
+// FromContextError converts a context error or wrapped context error into a
+// Status.  It returns a Status with codes.OK if err is nil, or a Status with
+// codes.Unknown if err is non-nil and not a context error.
 func FromContextError(err error) *Status {
-	switch err {
-	case nil:
+	if err == nil {
 		return nil
-	case context.DeadlineExceeded:
+	}
+	if errors.Is(err, context.DeadlineExceeded) {
 		return New(codes.DeadlineExceeded, err.Error())
-	case context.Canceled:
+	}
+	if errors.Is(err, context.Canceled) {
 		return New(codes.Canceled, err.Error())
-	default:
-		return New(codes.Unknown, err.Error())
 	}
+	return New(codes.Unknown, err.Error())
 }
diff --git a/status/status_test.go b/status/status_test.go
index 839a3c390ede..420fb6b8102c 100644
--- a/status/status_test.go
+++ b/status/status_test.go
@@ -364,6 +364,8 @@ func (s) TestFromContextError(t *testing.T) {
 		{in: context.DeadlineExceeded, want: New(codes.DeadlineExceeded, context.DeadlineExceeded.Error())},
 		{in: context.Canceled, want: New(codes.Canceled, context.Canceled.Error())},
 		{in: errors.New("other"), want: New(codes.Unknown, "other")},
+		{in: fmt.Errorf("wrapped: %w", context.DeadlineExceeded), want: New(codes.DeadlineExceeded, "wrapped: "+context.DeadlineExceeded.Error())},
+		{in: fmt.Errorf("wrapped: %w", context.Canceled), want: New(codes.Canceled, "wrapped: "+context.Canceled.Error())},
 	}
 	for _, tc := range testCases {
 		got := FromContextError(tc.in)