diff --git a/pc/peerconnection.cc b/pc/peerconnection.cc
index b7fe2e3ad3..572816c218 100644
--- a/pc/peerconnection.cc
+++ b/pc/peerconnection.cc
@@ -2348,6 +2348,7 @@ RTCError PeerConnection::ApplyRemoteDescription(
   // read to determine the current checking state. The existing SignalConnecting
   // actually means "gathering candidates", so cannot be be used here.
   if (remote_description()->GetType() != SdpType::kOffer &&
+      remote_description()->number_of_mediasections() > 0u &&
       ice_connection_state() == PeerConnectionInterface::kIceConnectionNew) {
     SetIceConnectionState(PeerConnectionInterface::kIceConnectionChecking);
   }
diff --git a/pc/peerconnection_ice_unittest.cc b/pc/peerconnection_ice_unittest.cc
index 3911a58646..1f8213ec29 100644
--- a/pc/peerconnection_ice_unittest.cc
+++ b/pc/peerconnection_ice_unittest.cc
@@ -351,6 +351,21 @@ TEST_P(PeerConnectionIceTest, SetRemoteDescriptionFailsIfNoIceCredentials) {
   EXPECT_FALSE(callee->SetRemoteDescription(std::move(offer)));
 }
 
+// Test that doing an offer/answer exchange with no transport (i.e., no data
+// channel or media) results in the ICE connection state staying at New.
+TEST_P(PeerConnectionIceTest,
+       OfferAnswerWithNoTransportsDoesNotChangeIceConnectionState) {
+  auto caller = CreatePeerConnection();
+  auto callee = CreatePeerConnection();
+
+  ASSERT_TRUE(caller->ExchangeOfferAnswerWith(callee.get()));
+
+  EXPECT_EQ(PeerConnectionInterface::kIceConnectionNew,
+            caller->pc()->ice_connection_state());
+  EXPECT_EQ(PeerConnectionInterface::kIceConnectionNew,
+            callee->pc()->ice_connection_state());
+}
+
 // The following group tests that ICE candidates are not generated before
 // SetLocalDescription is called on a PeerConnection.