diff --git a/include/alpaka/acc/AccCpuOmp2Blocks.hpp b/include/alpaka/acc/AccCpuOmp2Blocks.hpp
index df52d90d03b..27661f58432 100644
--- a/include/alpaka/acc/AccCpuOmp2Blocks.hpp
+++ b/include/alpaka/acc/AccCpuOmp2Blocks.hpp
@@ -189,6 +189,13 @@ namespace alpaka
                 TKernelFnObj const& kernelFnObj,
                 TArgs&&... args)
             {
+                if(workDiv.m_blockThreadExtent.prod() != static_cast<TIdx>(1u))
+                {
+                    throw std::runtime_error(
+                        "The given work division is not valid for a single thread Acc: "
+                        + getAccName<AccCpuOmp2Blocks<TDim, TIdx>>() + ". Threads per block should be 1!");
+                }
+
                 return TaskKernelCpuOmp2Blocks<TDim, TIdx, TKernelFnObj, TArgs...>(
                     workDiv,
                     kernelFnObj,
diff --git a/include/alpaka/acc/AccCpuSerial.hpp b/include/alpaka/acc/AccCpuSerial.hpp
index 4a4e8f0621a..e1b223f8915 100644
--- a/include/alpaka/acc/AccCpuSerial.hpp
+++ b/include/alpaka/acc/AccCpuSerial.hpp
@@ -182,6 +182,13 @@ namespace alpaka
                 TKernelFnObj const& kernelFnObj,
                 TArgs&&... args)
             {
+                if(workDiv.m_blockThreadExtent.prod() != static_cast<TIdx>(1u))
+                {
+                    throw std::runtime_error(
+                        "The given work division is not valid for a single thread Acc: "
+                        + getAccName<AccCpuSerial<TDim, TIdx>>() + ". Threads per block should be 1!");
+                }
+
                 return TaskKernelCpuSerial<TDim, TIdx, TKernelFnObj, TArgs...>(
                     workDiv,
                     kernelFnObj,
diff --git a/include/alpaka/acc/AccCpuTbbBlocks.hpp b/include/alpaka/acc/AccCpuTbbBlocks.hpp
index 1d2c7aec5a5..d283523e7a5 100644
--- a/include/alpaka/acc/AccCpuTbbBlocks.hpp
+++ b/include/alpaka/acc/AccCpuTbbBlocks.hpp
@@ -183,6 +183,13 @@ namespace alpaka
                 TKernelFnObj const& kernelFnObj,
                 TArgs&&... args)
             {
+                if(workDiv.m_blockThreadExtent.prod() != static_cast<TIdx>(1u))
+                {
+                    throw std::runtime_error(
+                        "The given work division is not valid for a single thread Acc: "
+                        + getAccName<AccCpuTbbBlocks<TDim, TIdx>>() + ". Threads per block should be 1!");
+                }
+
                 return TaskKernelCpuTbbBlocks<TDim, TIdx, TKernelFnObj, TArgs...>(
                     workDiv,
                     kernelFnObj,