diff --git a/qa/rpc-tests/p2p-compactblocks.py b/qa/rpc-tests/p2p-compactblocks.py
index 6b5d477131..6d1fb3fd9a 100755
--- a/qa/rpc-tests/p2p-compactblocks.py
+++ b/qa/rpc-tests/p2p-compactblocks.py
@@ -708,6 +708,33 @@ class CompactBlocksTest(BitcoinTestFramework):
                 l.last_cmpctblock.header_and_shortids.header.calc_sha256()
                 assert_equal(l.last_cmpctblock.header_and_shortids.header.sha256, block.sha256)
 
+    # Test that we don't get disconnected if we relay a compact block with valid header,
+    # but invalid transactions.
+    def test_invalid_tx_in_compactblock(self, node, test_node, use_segwit):
+        assert(len(self.utxos))
+        utxo = self.utxos[0]
+
+        block = self.build_block_with_transactions(node, utxo, 5)
+        del block.vtx[3]
+        block.hashMerkleRoot = block.calc_merkle_root()
+        if use_segwit:
+            # If we're testing with segwit, also drop the coinbase witness,
+            # but include the witness commitment.
+            add_witness_commitment(block)
+            block.vtx[0].wit.vtxinwit = []
+        block.solve()
+
+        # Now send the compact block with all transactions prefilled, and
+        # verify that we don't get disconnected.
+        comp_block = HeaderAndShortIDs()
+        comp_block.initialize_from_block(block, prefill_list=[0, 1, 2, 3, 4], use_witness=use_segwit)
+        msg = msg_cmpctblock(comp_block.to_p2p())
+        test_node.send_and_ping(msg)
+
+        # Check that the tip didn't advance
+        assert(int(node.getbestblockhash(), 16) is not block.sha256)
+        test_node.sync_with_ping()
+
     # Helper for enabling cb announcements
     # Send the sendcmpct request and sync headers
     def request_cb_announcements(self, peer, node, version):
@@ -798,6 +825,11 @@ class CompactBlocksTest(BitcoinTestFramework):
         self.test_end_to_end_block_relay(self.nodes[0], [self.segwit_node, self.test_node, self.old_node])
         self.test_end_to_end_block_relay(self.nodes[1], [self.segwit_node, self.test_node, self.old_node])
 
+        print("\tTesting handling of invalid compact blocks...")
+        self.test_invalid_tx_in_compactblock(self.nodes[0], self.test_node, False)
+        self.test_invalid_tx_in_compactblock(self.nodes[1], self.segwit_node, False)
+        self.test_invalid_tx_in_compactblock(self.nodes[1], self.old_node, False)
+
         # Advance to segwit activation
         print ("\nAdvancing to segwit activation\n")
         self.activate_segwit(self.nodes[1])
@@ -844,6 +876,11 @@ class CompactBlocksTest(BitcoinTestFramework):
         self.request_cb_announcements(self.segwit_node, self.nodes[1], 2)
         self.test_end_to_end_block_relay(self.nodes[1], [self.segwit_node, self.test_node, self.old_node])
 
+        print("\tTesting handling of invalid compact blocks...")
+        self.test_invalid_tx_in_compactblock(self.nodes[0], self.test_node, False)
+        self.test_invalid_tx_in_compactblock(self.nodes[1], self.segwit_node, True)
+        self.test_invalid_tx_in_compactblock(self.nodes[1], self.old_node, True)
+
         print("\tTesting invalid index in cmpctblock message...")
         self.test_invalid_cmpctblock_message()