diff --git a/src/initialize_dae.jl b/src/initialize_dae.jl
index 947e3aa5..50b52b1e 100644
--- a/src/initialize_dae.jl
+++ b/src/initialize_dae.jl
@@ -1,13 +1,13 @@
 struct SDEDefaultInit <: DiffEqBase.DAEInitializationAlgorithm end
 
-function DiffEqBase.initialize_dae!(integrator::SDEIntegrator, initializealg = integrator.initializealg)
+function DiffEqBase.initialize_dae!(integrator::AbstractSDEIntegrator, initializealg = integrator.initializealg)
     OrdinaryDiffEqCore._initialize_dae!(integrator, integrator.sol.prob, initializealg, Val(DiffEqBase.isinplace(integrator.sol.prob)))
 end
 
-function OrdinaryDiffEqCore._initialize_dae!(integrator::SDEIntegrator, prob, ::SDEDefaultInit, isinplace)
+function OrdinaryDiffEqCore._initialize_dae!(integrator::AbstractSDEIntegrator, prob, ::SDEDefaultInit, isinplace)
     if SciMLBase.has_initializeprob(prob.f)
         OrdinaryDiffEqCore._initialize_dae!(integrator, prob, SciMLBase.OverrideInit(), isinplace)
-    else
+    elseif prob.f.mass_matrix isa Tuple && any(mm != I for mm in prob.f.mass_matrix) || prob.f.mass_matrix != I
         OrdinaryDiffEqCore._initialize_dae!(integrator, prob, SciMLBase.CheckInit(), isinplace)
     end
 end