diff --git a/src/validation.cpp b/src/validation.cpp
--- a/src/validation.cpp
+++ b/src/validation.cpp
@@ -3795,8 +3795,8 @@
                   pindex->GetBlockHash().ToString(), newBlockTimeDiff);
     }
 
-    bool fHasMoreWork =
-        (chainActive.Tip() ? pindex->nChainWork > chainActive.Tip()->nChainWork
+    bool fHasMoreOrSameWork =
+        (chainActive.Tip() ? pindex->nChainWork >= chainActive.Tip()->nChainWork
                            : true);
 
     // Blocks that are too out-of-order needlessly limit the effectiveness of
@@ -3821,7 +3821,7 @@
         }
 
         // Don't process less-work chains.
-        if (!fHasMoreWork) {
+        if (!fHasMoreOrSameWork) {
             return true;
         }
 
diff --git a/test/functional/p2p-acceptblock.py b/test/functional/p2p-acceptblock.py
--- a/test/functional/p2p-acceptblock.py
+++ b/test/functional/p2p-acceptblock.py
@@ -159,13 +159,8 @@
         assert(tip_entry_found)
 
         # But this block should be accepted by node since it has equal work.
-        # FIXME: Replace the assert with the commented lines once Core backport
-        # 932f118 is completed. Current behavior does not accept equal work
-        # blocks ontop of unprocessed blocks.
-        # self.nodes[0].getblock(block_h2f.hash)
-        #self.log.info("Second height 2 block accepted, but not reorg'ed to")
-        assert_raises_rpc_error(-1, "Block not found on disk",
-                                self.nodes[0].getblock, block_h2f.hash)
+        self.nodes[0].getblock(block_h2f.hash)
+        self.log.info("Second height 2 block accepted, but not reorg'ed to")
 
         # 4b. Now send another block that builds on the forking chain.
         block_h3 = create_block(
@@ -267,12 +262,6 @@
         # 7. Send the missing block for the third time (now it is requested)
         test_node.send_message(msg_block(block_h1f))
 
-        # 7.b. Send the next missing block now that it's requested.
-        # FIXME: Remove this line once Core backport 932f118 is completed.
-        # Current behavior is to not process equal work blocks building ontop
-        # of unprocessed blocks.
-        test_node.send_message(msg_block(block_h2f))
-
         test_node.sync_with_ping()
         assert_equal(self.nodes[0].getblockcount(), 290)
         self.nodes[0].getblock(all_blocks[286].hash)