diff --git a/src/storm/solver/TopologicalLinearEquationSolver.cpp b/src/storm/solver/TopologicalLinearEquationSolver.cpp
index 76e4ce3ea..5ae744203 100644
--- a/src/storm/solver/TopologicalLinearEquationSolver.cpp
+++ b/src/storm/solver/TopologicalLinearEquationSolver.cpp
@@ -144,11 +144,12 @@ namespace storm {
             }
             
             if (hasDiagonalEntry) {
-                    if (storm::utility::isZero(denominator)) {
-                        STORM_LOG_THROW(storm::utility::isZero(xi), storm::exceptions::InvalidOperationException, "The equation system has no solution.");
-                    } else {
-                        xi /= denominator;
-                    }
+                STORM_LOG_WARN_COND_DEBUG(storm::NumberTraits<ValueType>::IsExact || !storm::utility::isAlmostZero(denominator) || storm::utility::isZero(denominator), "State " << sccState << " has a selfloop with probability '1-(" << denominator << ")'. This could be an indication for numerical issues.");
+                if (storm::utility::isZero(denominator)) {
+                    STORM_LOG_THROW(storm::utility::isZero(xi), storm::exceptions::InvalidOperationException, "The equation system has no solution.");
+                } else {
+                    xi /= denominator;
+                }
             }
             return true;
         }
diff --git a/src/storm/solver/TopologicalMinMaxLinearEquationSolver.cpp b/src/storm/solver/TopologicalMinMaxLinearEquationSolver.cpp
index 7c366e436..6cf09bd45 100644
--- a/src/storm/solver/TopologicalMinMaxLinearEquationSolver.cpp
+++ b/src/storm/solver/TopologicalMinMaxLinearEquationSolver.cpp
@@ -155,6 +155,7 @@ namespace storm {
                     }
                 }
                 if (hasDiagonalEntry) {
+                    STORM_LOG_WARN_COND_DEBUG(storm::NumberTraits<ValueType>::IsExact || !storm::utility::isAlmostZero(denominator) || storm::utility::isZero(denominator), "State " << sccState << " has a selfloop with probability '1-(" << denominator << ")'. This could be an indication for numerical issues.");
                     if (storm::utility::isZero(denominator)) {
                         // In this case we have a selfloop on this state. This can never an optimal choice:
                         // When minimizing, we are looking for the largest fixpoint (which will never be attained by this action)
diff --git a/src/storm/utility/constants.cpp b/src/storm/utility/constants.cpp
index 1b2bdff97..9172807ad 100644
--- a/src/storm/utility/constants.cpp
+++ b/src/storm/utility/constants.cpp
@@ -55,12 +55,14 @@ namespace storm {
             return std::isnan(value);
         }
         
-        bool isAlmostZero(double const& a) {
-            return a < 1e-12 && a > -1e-12;
+        template<typename ValueType>
+        bool isAlmostZero(ValueType const& a) {
+            return a < convertNumber<ValueType>(1e-12) && a > -convertNumber<ValueType>(1e-12);
         }
         
-        bool isAlmostOne(double const& a) {
-            return a < (1.0 + 1e-12) && a > (1.0 - 1e-12);
+        template<typename ValueType>
+        bool isAlmostOne(ValueType const& a) {
+            return a < convertNumber<ValueType>(1.0 + 1e-12) && a > convertNumber<ValueType>(1.0 - 1e-12);
         }
         
         template<typename ValueType>
@@ -818,6 +820,16 @@ namespace storm {
             return std::move(value);
         }
         
+        template<>
+        bool isAlmostZero(storm::RationalFunction const& a) {
+            return a.isConstant() && isAlmostZero(convertNumber<RationalFunctionCoefficient>(a));
+        }
+        
+        template<>
+        bool isAlmostOne(storm::RationalFunction const& a) {
+            return a.isConstant() && isAlmostOne(convertNumber<RationalFunctionCoefficient>(a));
+        }
+        
         template<>
         std::pair<storm::RationalFunction, storm::RationalFunction> minmax(std::vector<storm::RationalFunction> const&) {
             STORM_LOG_THROW(false, storm::exceptions::InvalidArgumentException, "Minimum/maximum for rational functions is not defined.");
@@ -885,6 +897,8 @@ namespace storm {
         template double infinity();
         template bool isOne(double const& value);
         template bool isZero(double const& value);
+        template bool isAlmostZero(double const& value);
+        template bool isAlmostOne(double const& value);
         template bool isConstant(double const& value);
         template bool isInfinity(double const& value);
         template bool isInteger(double const& number);
@@ -982,6 +996,8 @@ namespace storm {
         template bool isConstant(storm::ClnRationalNumber const& value);
         template bool isInfinity(storm::ClnRationalNumber const& value);
         template bool isNan(storm::ClnRationalNumber const& value);
+        template bool isAlmostZero(storm::ClnRationalNumber const& value);
+        template bool isAlmostOne(storm::ClnRationalNumber const& value);
         template storm::NumberTraits<ClnRationalNumber>::IntegerType convertNumber(storm::NumberTraits<ClnRationalNumber>::IntegerType const& number);
         template storm::ClnRationalNumber convertNumber(storm::ClnRationalNumber const& number);
         template storm::ClnRationalNumber simplify(storm::ClnRationalNumber value);
@@ -1008,6 +1024,8 @@ namespace storm {
         template bool isConstant(storm::GmpRationalNumber const& value);
         template bool isInfinity(storm::GmpRationalNumber const& value);
         template bool isNan(storm::GmpRationalNumber const& value);
+        template bool isAlmostZero(storm::GmpRationalNumber const& value);
+        template bool isAlmostOne(storm::GmpRationalNumber const& value);
         template storm::NumberTraits<GmpRationalNumber>::IntegerType convertNumber(storm::NumberTraits<GmpRationalNumber>::IntegerType const& number);
         template storm::GmpRationalNumber convertNumber(storm::GmpRationalNumber const& number);
         template storm::GmpRationalNumber simplify(storm::GmpRationalNumber value);
diff --git a/src/storm/utility/constants.h b/src/storm/utility/constants.h
index ddd125edb..787ead089 100644
--- a/src/storm/utility/constants.h
+++ b/src/storm/utility/constants.h
@@ -88,9 +88,11 @@ namespace storm {
         template<typename ValueType>
         bool isNan(ValueType const& a);
 
-        bool isAlmostZero(double const& a);
+        template<typename ValueType>
+        bool isAlmostZero(ValueType const& a);
 
-        bool isAlmostOne(double const& a);
+        template<typename ValueType>
+        bool isAlmostOne(ValueType const& a);
         
         template<typename ValueType>
         bool isConstant(ValueType const& a);