diff --git a/src/ripple/app/tx/impl/CreateOffer.cpp b/src/ripple/app/tx/impl/CreateOffer.cpp
index c1fca1bfa..602be87a6 100644
--- a/src/ripple/app/tx/impl/CreateOffer.cpp
+++ b/src/ripple/app/tx/impl/CreateOffer.cpp
@@ -815,6 +815,7 @@ enum class SBoxCmp
     same,
     dustDiff,
     offerDelDiff,
+    xrpRound,
     diff
 };
 
@@ -828,6 +829,8 @@ static std::string to_string (SBoxCmp c)
         return "dust diffs";
     case SBoxCmp::offerDelDiff:
         return "offer del diffs";
+    case SBoxCmp::xrpRound:
+        return "XRP round to zero";
     case SBoxCmp::diff:
         return "different";
     }
@@ -846,6 +849,19 @@ static SBoxCmp compareSandboxes (char const* name, ApplyContext const& ctx,
     if (diff.hasDiff())
     {
         using namespace beast::severities;
+        // There is a special case of an offer with XRP on one side where
+        // the XRP gets rounded to zero.  It mostly looks like dust-level
+        // differences.  It is easier to detect if we look for it before
+        // removing the dust differences.
+        if (int const side = diff.xrpRoundToZero())
+        {
+            char const* const whichSide = side > 0 ? "; Flow" : "; Taker";
+            j.stream (kWarning) << "FlowCross: " << name << " different" <<
+                whichSide << " XRP rounded to zero.  tx: " <<
+                ctx.tx.getTransactionID();
+            return SBoxCmp::xrpRound;
+        }
+
         c = SBoxCmp::dustDiff;
         Severity s = kInfo;
         std::string diffDesc = ", but only dust.";
diff --git a/src/ripple/ledger/CashDiff.h b/src/ripple/ledger/CashDiff.h
index 13ccb8f25..0b5b9e33b 100644
--- a/src/ripple/ledger/CashDiff.h
+++ b/src/ripple/ledger/CashDiff.h
@@ -83,6 +83,21 @@ public:
     // Returns true is there are any differences to report.
     bool hasDiff() const;
 
+    // Checks for the XRP round-to-zero case.  Returns zero if not detected.
+    // Otherwise returns -1 if seen on lhs, +1 if seen on rhs.
+    //
+    // For tiny offers of TakerPays IOU and TakerGets XRP, cases have been
+    // observed where XRP rounding allows a tiny amount of IOU to be
+    // removed from an Offer while returning no XRP to the offer owner.
+    // That's because the XRP amount was rounded down to zero drops.
+    //
+    // The person submitting the tiny offer does not, however, get something
+    // for nothing.  The transaction's fee is significantly larger than the
+    // value of the received IOU.
+    //
+    // This check should be made before calling rmDust().
+    int xrpRoundToZero() const;
+
     // Remove dust-sized differences.  Returns true is dust was removed.
     bool rmDust();
 
@@ -123,7 +138,7 @@ private:
 // If v1 and v2 have different issues, then their difference is never dust.
 // If v1 < v2, smallness is computed as v1 / (v2 - v1).
 // The e10 argument says at least how big that ratio must be.  Default is 10^6.
-// If both v1 and v2 are XRP, any difference of 2 or smaller is considered dust.
+// If both v1 and v2 are XRP, consider any diff of 2 drops or less to be dust.
 bool diffIsDust (STAmount const& v1, STAmount const& v2, std::uint8_t e10 = 6);
 
 } // ripple
diff --git a/src/ripple/ledger/impl/CashDiff.cpp b/src/ripple/ledger/impl/CashDiff.cpp
index ac82513e8..e92cda586 100644
--- a/src/ripple/ledger/impl/CashDiff.cpp
+++ b/src/ripple/ledger/impl/CashDiff.cpp
@@ -330,6 +330,8 @@ public:
             || rhsDiffs_.hasDiff();
     }
 
+    int xrpRoundToZero () const;
+
     // Filter out differences that are small enough to be in the floating
     // point noise.
     bool rmDust ();
@@ -424,6 +426,46 @@ countKeys (detail::CashSummary const& lhs, detail::CashSummary const& rhs)
     return ret;
 }
 
+int CashDiff::Impl::xrpRoundToZero () const
+{
+    // The case has one OfferChange that is present on both lhs_ and rhs_.
+    // That OfferChange should have XRP for TakerGets.  There should be a 1
+    // drop difference between the TakerGets of lhsDiffs_ and rhsDiffs_.
+    if (lhsDiffs_.offerChanges.size() != 1 ||
+        rhsDiffs_.offerChanges.size() != 1)
+            return 0;
+
+    if (! lhsDiffs_.offerChanges[0].second.takerGets().native() ||
+        ! rhsDiffs_.offerChanges[0].second.takerGets().native())
+            return 0;
+
+    bool const lhsBigger =
+        lhsDiffs_.offerChanges[0].second.takerGets().mantissa() >
+        rhsDiffs_.offerChanges[0].second.takerGets().mantissa();
+
+    detail::CashSummary const& bigger = lhsBigger ? lhsDiffs_ : rhsDiffs_;
+    detail::CashSummary const& smaller = lhsBigger ? rhsDiffs_ : lhsDiffs_;
+    if (bigger.offerChanges[0].second.takerGets().mantissa() -
+        smaller.offerChanges[0].second.takerGets().mantissa() != 1)
+           return 0;
+
+    // The side with the smaller XRP balance in the OfferChange should have
+    // two XRP differences.  The other side should have no XRP differences.
+    if (smaller.xrpChanges.size() != 2)
+        return 0;
+    if (! bigger.xrpChanges.empty())
+        return 0;
+
+    // There should be no other differences.
+    if (!smaller.trustChanges.empty()   || !bigger.trustChanges.empty()   ||
+        !smaller.trustDeletions.empty() || !bigger.trustDeletions.empty() ||
+        !smaller.offerDeletions.empty() || !bigger.offerDeletions.empty())
+            return 0;
+
+    // Return which side exhibited the problem.
+    return lhsBigger ? -1 : 1;
+}
+
 // Function that compares two CashDiff::OfferAmounts and returns true if
 // the difference is dust-sized.
 static bool diffIsDust (
@@ -627,6 +669,11 @@ bool CashDiff::hasDiff() const
     return impl_->hasDiff();
 }
 
+int CashDiff::xrpRoundToZero() const
+{
+    return impl_->xrpRoundToZero();
+}
+
 bool CashDiff::rmDust()
 {
     return impl_->rmDust();
@@ -678,7 +725,7 @@ bool diffIsDust (STAmount const& v1, STAmount const& v2, std::uint8_t e10)
             return true;
 
         static_assert (sizeof (1ULL) == sizeof (std::uint64_t), "");
-        std::uint64_t ratio = s / (l - s);
+        std::uint64_t const ratio = s / (l - s);
         static constexpr std::uint64_t e10Lookup[]
         {
                                      1ULL,