diff --git a/opm/autodiff/BlackoilModelParameters.cpp b/opm/autodiff/BlackoilModelParameters.cpp
index d5b08fe8e..bebefcda2 100644
--- a/opm/autodiff/BlackoilModelParameters.cpp
+++ b/opm/autodiff/BlackoilModelParameters.cpp
@@ -50,6 +50,7 @@ namespace Opm
         tolerance_cnv_   = param.getDefault("tolerance_cnv", tolerance_cnv_);
         tolerance_wells_ = param.getDefault("tolerance_wells", tolerance_wells_ );
         tolerance_well_control_ = param.getDefault("tolerance_well_control", tolerance_well_control_);
+        tolerance_pressure_ms_wells_ = param.getDefault("tolerance_pressure_ms_wells", tolerance_pressure_ms_wells_);
         maxSinglePrecisionTimeStep_ = unit::convert::from(
                 param.getDefault("max_single_precision_days", unit::convert::to( maxSinglePrecisionTimeStep_, unit::day) ), unit::day );
         max_strict_iter_ = param.getDefault("max_strict_iter",8);
@@ -76,6 +77,7 @@ namespace Opm
         tolerance_cnv_   = 1.0e-2;
         tolerance_wells_ = 1.0e-4;
         tolerance_well_control_ = 1.0e-7;
+        tolerance_pressure_ms_wells_ = 100.0;
         maxSinglePrecisionTimeStep_ = unit::convert::from( 20.0, unit::day );
         solve_welleq_initially_ = true;
         update_equations_scaling_ = false;
diff --git a/opm/autodiff/BlackoilModelParameters.hpp b/opm/autodiff/BlackoilModelParameters.hpp
index 0e9984816..01fe6411a 100644
--- a/opm/autodiff/BlackoilModelParameters.hpp
+++ b/opm/autodiff/BlackoilModelParameters.hpp
@@ -51,6 +51,8 @@ namespace Opm
         /// Tolerance for the well control equations
         //  TODO: it might need to distinguish between rate control and pressure control later
         double tolerance_well_control_;
+        /// Tolerance for the pressure equations for multisegment wells
+        double tolerance_pressure_ms_wells_;
 
         /// Tolerance for time step in seconds where single precision can be used
         /// for solving for the Jacobian
diff --git a/opm/autodiff/MultisegmentWell_impl.hpp b/opm/autodiff/MultisegmentWell_impl.hpp
index 40614b88f..1b88b3124 100644
--- a/opm/autodiff/MultisegmentWell_impl.hpp
+++ b/opm/autodiff/MultisegmentWell_impl.hpp
@@ -548,6 +548,8 @@ namespace Opm
                         }
                     }
                 } else { // pressure equation
+                    // TODO: we should distinguish the rate control equations, bhp control equations
+                    // and the oridnary pressure equations
                     const double pressure_residal = residual[seg][eq_idx];
                     const std::string eq_name("Pressure");
                     if (std::isnan(pressure_residal)) {
@@ -575,8 +577,7 @@ namespace Opm
                 report.converged = report.converged && (maximum_residual[comp_idx] < param.tolerance_wells_);
             }
 
-            // TODO: it is not good to use a hard-coded value.
-            report.converged = report.converged && (maximum_residual[SPres] < 100.0);
+            report.converged = report.converged && (maximum_residual[SPres] < param.tolerance_pressure_ms_wells_);
         } else { // abnormal values found and no need to check the convergence
             report.converged = false;
         }