diff --git a/opm/parser/eclipse/EclipseState/Schedule/Schedule.hpp b/opm/parser/eclipse/EclipseState/Schedule/Schedule.hpp
index f55bf1317..301586ee8 100644
--- a/opm/parser/eclipse/EclipseState/Schedule/Schedule.hpp
+++ b/opm/parser/eclipse/EclipseState/Schedule/Schedule.hpp
@@ -114,7 +114,12 @@ namespace Opm
         size_t numWells(size_t timestep) const;
         size_t getMaxNumConnectionsForWells(size_t timestep) const;
         bool hasWell(const std::string& wellName) const;
+
         std::vector<std::string> wellNames(const std::string& pattern, size_t timeStep, const std::vector<std::string>& matching_wells = {}) const;
+        std::vector<std::string> wellNames(const std::string& pattern) const;
+        std::vector<std::string> wellNames(size_t timeStep) const;
+        std::vector<std::string> wellNames() const;
+
         const Well* getWell(const std::string& wellName) const;
         std::vector< const Well* > getOpenWells(size_t timeStep) const;
         std::vector< const Well* > getWells() const;
diff --git a/src/opm/parser/eclipse/EclipseState/Schedule/Schedule.cpp b/src/opm/parser/eclipse/EclipseState/Schedule/Schedule.cpp
index 31dfd7f5b..f54664e3a 100644
--- a/src/opm/parser/eclipse/EclipseState/Schedule/Schedule.cpp
+++ b/src/opm/parser/eclipse/EclipseState/Schedule/Schedule.cpp
@@ -1969,6 +1969,25 @@ namespace Opm {
         return {};
     }
 
+    std::vector<std::string> Schedule::wellNames(const std::string& pattern) const {
+        return this->wellNames(pattern, this->size() - 1);
+    }
+
+    std::vector<std::string> Schedule::wellNames(std::size_t timeStep) const {
+        std::vector<std::string> names;
+        for (const auto& well_pair : this->m_wells) {
+            if (well_pair.second.firstTimeStep() <= timeStep)
+                names.push_back(well_pair.first);
+        }
+        return names;
+    }
+
+    std::vector<std::string> Schedule::wellNames() const {
+        std::vector<std::string> names;
+        for (const auto& well_pair : this->m_wells)
+            names.push_back(well_pair.first);
+        return names;
+    }
 
     std::vector< Well* > Schedule::getWells(const std::string& wellNamePattern, const std::vector<std::string>& matching_wells) {
         // If we arrive here during the handling the body of a ACTIONX keyword
diff --git a/tests/parser/ScheduleTests.cpp b/tests/parser/ScheduleTests.cpp
index ebe71c3c5..07563f498 100644
--- a/tests/parser/ScheduleTests.cpp
+++ b/tests/parser/ScheduleTests.cpp
@@ -2937,6 +2937,14 @@ BOOST_AUTO_TEST_CASE(WellNames) {
     BOOST_CHECK(has(anames, "W1"));
     BOOST_CHECK(has(anames, "W2"));
 
+    auto all_names0 = schedule.wellNames("*", 0);
+    BOOST_CHECK_EQUAL( all_names0.size(), 6);
+    BOOST_CHECK( has(all_names0, "W1"));
+    BOOST_CHECK( has(all_names0, "W2"));
+    BOOST_CHECK( has(all_names0, "W3"));
+    BOOST_CHECK( has(all_names0, "DEFAULT"));
+    BOOST_CHECK( has(all_names0, "ALLOW"));
+
     auto all_names = schedule.wellNames("*", 2);
     BOOST_CHECK_EQUAL( all_names.size(), 9);
     BOOST_CHECK( has(all_names, "I1"));
@@ -2948,4 +2956,7 @@ BOOST_AUTO_TEST_CASE(WellNames) {
     BOOST_CHECK( has(all_names, "DEFAULT"));
     BOOST_CHECK( has(all_names, "ALLOW"));
     BOOST_CHECK( has(all_names, "BAN"));
+
+    auto abs_all = schedule.wellNames();
+    BOOST_CHECK_EQUAL(abs_all.size(), 9);
 }