diff --git a/src/alg_utils.jl b/src/alg_utils.jl
index b7b15256..0a7a3a14 100644
--- a/src/alg_utils.jl
+++ b/src/alg_utils.jl
@@ -169,8 +169,8 @@ alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::SRA) = true
 alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::SRA1) = true
 alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::SRA2) = true
 alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::SRA3) = true
-alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::SOSRA) = true
-alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::SOSRA2) = true
+alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::SOSRA) = is_diagonal_noise(prob)
+alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::SOSRA2) = is_diagonal_noise(prob)
 alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::DRI1) = true
 alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::DRI1NM) = is_diagonal_noise(prob)
 alg_compatible(prob::DiffEqBase.AbstractSDEProblem, alg::RI1) = true