diff --git a/lib/ModelingToolkitBase/test/stream_connectors.jl b/lib/ModelingToolkitBase/test/stream_connectors.jl
index 4d5020e837..4c6dfcfce1 100644
--- a/lib/ModelingToolkitBase/test/stream_connectors.jl
+++ b/lib/ModelingToolkitBase/test/stream_connectors.jl
@@ -510,6 +510,7 @@ function TwoFluidSystem(; name)
         connect(fluid_b, source_b.H)
         connect(source_b.H, pipe_b.HA)
         connect(pipe_b.HB, volume_b.H)
+        source_a.H.dm ~ 0
     ]
 
     return System(eqs, t, vars, pars; name, systems)
diff --git a/src/systems/systemstructure.jl b/src/systems/systemstructure.jl
index d67e7d3414..da6edfaba6 100644
--- a/src/systems/systemstructure.jl
+++ b/src/systems/systemstructure.jl
@@ -233,13 +233,13 @@ function _mtkcompile!(
     union!(inputs, disturbance_inputs)
     state = ModelingToolkit.inputs_to_parameters!(state, discrete_inputs, OrderedSet{SymbolicT}())
     state = ModelingToolkit.inputs_to_parameters!(state, inputs, outputs)
-    StateSelection.trivial_tearing!(state)
-    sys, mm = ModelingToolkit.alias_elimination!(state; fully_determined, kwargs...)
     if check_consistency
         fully_determined = StateSelection.check_consistency(
             state, orig_inputs; nothrow = fully_determined === nothing
         )
     end
+    StateSelection.trivial_tearing!(state)
+    sys, mm = ModelingToolkit.alias_elimination!(state; fully_determined, kwargs...)
     # This phrasing avoids making the `kwcall` dynamic dispatch due to the type of a
     # keyword (`mm`) being non-concrete
     if mm isa CLIL.SparseMatrixCLIL{BigInt, Int}