diff --git a/CHANGELOG.md b/CHANGELOG.md
index 927e16f6e..2c643f3f4 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -19,6 +19,8 @@ incompatible, however.
   transaction. Second, fix the "same chainstate hash" fallback check.
 - Winning block txid lookups in the SortitionDB have been corrected
   to use the txid during the lookup.
+- The miner will no longer attempt to mine a new Stacks block if it receives a
+  microblock in a discontinuous microblock stream.
 
 ## [2.0.5] - 2021-02-12
 
diff --git a/src/chainstate/stacks/db/blocks.rs b/src/chainstate/stacks/db/blocks.rs
index 4e25e8dc7..91fe7222d 100644
--- a/src/chainstate/stacks/db/blocks.rs
+++ b/src/chainstate/stacks/db/blocks.rs
@@ -1356,6 +1356,7 @@ impl StacksChainState {
         let mut ret = vec![];
         let mut tip: Option<StacksMicroblock> = None;
         let mut fork_poison = None;
+        let mut expected_sequence = start_seq;
 
         // load associated staging microblock data, but best-effort.
         // Stop loading once we find a fork juncture.
@@ -1384,6 +1385,18 @@ impl StacksChainState {
                 }
             };
 
+            if mblock.header.sequence > expected_sequence {
+                warn!(
+                    "Discontinuous microblock stream: expected seq {}, got {}",
+                    expected_sequence, mblock.header.sequence
+                );
+                break;
+            }
+
+            // expect forks, so expected_sequence may not always increase
+            expected_sequence =
+                cmp::min(mblock.header.sequence, expected_sequence).saturating_add(1);
+
             if let Some(tip_mblock) = tip {
                 if mblock.header.sequence == tip_mblock.header.sequence {
                     debug!(
@@ -6912,6 +6925,133 @@ pub mod test {
         );
     }
 
+    #[test]
+    fn stacks_db_staging_microblock_stream_load_continuous_streams() {
+        let mut chainstate = instantiate_chainstate(
+            false,
+            0x80000000,
+            "stacks_db_staging_microblock_stream_load_continuous_streams",
+        );
+        let privk = StacksPrivateKey::from_hex(
+            "eb05c83546fdd2c79f10f5ad5434a90dd28f7e3acb7c092157aa1bc3656b012c01",
+        )
+        .unwrap();
+
+        let block = make_empty_coinbase_block(&privk);
+        let microblocks = make_sample_microblock_stream(&privk, &block.block_hash());
+        let mut child_block = make_empty_coinbase_block(&privk);
+
+        child_block.header.parent_block = block.block_hash();
+        child_block.header.parent_microblock = microblocks.first().as_ref().unwrap().block_hash();
+        child_block.header.parent_microblock_sequence =
+            microblocks.first().as_ref().unwrap().header.sequence;
+
+        assert!(StacksChainState::load_staging_microblock(
+            &chainstate.db(),
+            &ConsensusHash([2u8; 20]),
+            &block.block_hash(),
+            &microblocks[0].block_hash()
+        )
+        .unwrap()
+        .is_none());
+        assert!(StacksChainState::load_descendant_staging_microblock_stream(
+            &chainstate.db(),
+            &StacksBlockHeader::make_index_block_hash(
+                &ConsensusHash([2u8; 20]),
+                &block.block_hash()
+            ),
+            0,
+            u16::max_value()
+        )
+        .unwrap()
+        .is_none());
+
+        store_staging_block(
+            &mut chainstate,
+            &ConsensusHash([2u8; 20]),
+            &block,
+            &ConsensusHash([1u8; 20]),
+            1,
+            2,
+        );
+
+        // don't store the first microblock, but store the rest
+        for (i, mb) in microblocks.iter().enumerate() {
+            if i > 0 {
+                store_staging_microblock(
+                    &mut chainstate,
+                    &ConsensusHash([2u8; 20]),
+                    &block.block_hash(),
+                    mb,
+                );
+            }
+        }
+        store_staging_block(
+            &mut chainstate,
+            &ConsensusHash([3u8; 20]),
+            &child_block,
+            &ConsensusHash([2u8; 20]),
+            1,
+            2,
+        );
+
+        // block should be stored to staging
+        assert_block_staging_not_processed(&mut chainstate, &ConsensusHash([2u8; 20]), &block);
+        assert_block_staging_not_processed(
+            &mut chainstate,
+            &ConsensusHash([3u8; 20]),
+            &child_block,
+        );
+        assert_block_not_stored(&mut chainstate, &ConsensusHash([2u8; 20]), &block);
+        assert_block_not_stored(&mut chainstate, &ConsensusHash([3u8; 20]), &child_block);
+
+        // missing head
+        assert!(StacksChainState::load_staging_microblock(
+            &chainstate.db(),
+            &ConsensusHash([2u8; 20]),
+            &block.block_hash(),
+            &microblocks[0].block_hash()
+        )
+        .unwrap()
+        .is_none());
+
+        // subsequent microblock stream should be stored to staging
+        assert!(StacksChainState::load_staging_microblock(
+            &chainstate.db(),
+            &ConsensusHash([2u8; 20]),
+            &block.block_hash(),
+            &microblocks[1].block_hash()
+        )
+        .unwrap()
+        .is_some());
+        assert_eq!(
+            StacksChainState::load_staging_microblock(
+                &chainstate.db(),
+                &ConsensusHash([2u8; 20]),
+                &block.block_hash(),
+                &microblocks[1].block_hash()
+            )
+            .unwrap()
+            .unwrap()
+            .try_into_microblock()
+            .unwrap(),
+            microblocks[1]
+        );
+
+        // can't load descendent stream because missing head
+        assert!(StacksChainState::load_descendant_staging_microblock_stream(
+            &chainstate.db(),
+            &StacksBlockHeader::make_index_block_hash(
+                &ConsensusHash([2u8; 20]),
+                &block.block_hash()
+            ),
+            0,
+            u16::max_value()
+        )
+        .unwrap()
+        .is_none());
+    }
+
     #[test]
     fn stacks_db_validate_parent_microblock_stream() {
         let privk = StacksPrivateKey::from_hex(