diff --git a/MobileGL/MG_Backend/BackendObject.h b/MobileGL/MG_Backend/BackendObject.h
index 14014b3c..38c211fb 100644
--- a/MobileGL/MG_Backend/BackendObject.h
+++ b/MobileGL/MG_Backend/BackendObject.h
@@ -288,6 +288,10 @@ namespace MobileGL {
             Int MaxIntegerSamples = 1;
             Int MaxSamples = 1;
             Int MaxSampleMaskWords = 1;
+            // GL_MIN/MAX_PROGRAM_TEXTURE_GATHER_OFFSET. Defaults are the GL 4.0 core
+            // minimums, which every ES 3.1 driver also guarantees.
+            Int MinProgramTextureGatherOffset = -8;
+            Int MaxProgramTextureGatherOffset = 7;
             Int MaxTextureImageUnits = 32;
             Int MaxVertexTextureImageUnits = 32;
             Int MaxComputeTextureImageUnits = 32;
diff --git a/MobileGL/MG_Backend/DirectGLES/BackendObject_DirectGLES.cpp b/MobileGL/MG_Backend/DirectGLES/BackendObject_DirectGLES.cpp
index a8cea1b5..98c0d163 100644
--- a/MobileGL/MG_Backend/DirectGLES/BackendObject_DirectGLES.cpp
+++ b/MobileGL/MG_Backend/DirectGLES/BackendObject_DirectGLES.cpp
@@ -1072,6 +1072,8 @@ namespace MobileGL::MG_Backend::DirectGLES {
         m_dynamicParameters.MaxIntegerSamples = m_GLESCapabilities.MaxIntegerSamples;
         m_dynamicParameters.MaxSamples = m_GLESCapabilities.MaxSamples;
         m_dynamicParameters.MaxSampleMaskWords = m_GLESCapabilities.MaxSampleMaskWords;
+        m_dynamicParameters.MinProgramTextureGatherOffset = m_GLESCapabilities.MinProgramTextureGatherOffset;
+        m_dynamicParameters.MaxProgramTextureGatherOffset = m_GLESCapabilities.MaxProgramTextureGatherOffset;
         // Clamp the advertised sampler limits the same way the DirectVulkan backend does: per-stage
         // GL_MAX_TEXTURE_IMAGE_UNITS must never exceed host-side fixed arrays sized off it (e.g.
         // Minecraft's 128-entry Blaze3D GlStateManager.TEXTURES[], iterated by Iris), and the combined
diff --git a/MobileGL/MG_Impl/GLImpl/Getter/GL_Getter.cpp b/MobileGL/MG_Impl/GLImpl/Getter/GL_Getter.cpp
index f9a4e11f..853cd179 100644
--- a/MobileGL/MG_Impl/GLImpl/Getter/GL_Getter.cpp
+++ b/MobileGL/MG_Impl/GLImpl/Getter/GL_Getter.cpp
@@ -1912,6 +1912,12 @@ namespace MobileGL::MG_Impl::GLImpl {
         case GL_MAX_SAMPLE_MASK_WORDS:
             *params = dynamicParameters.MaxSampleMaskWords;
             break;
+        case GL_MIN_PROGRAM_TEXTURE_GATHER_OFFSET:
+            *params = dynamicParameters.MinProgramTextureGatherOffset;
+            break;
+        case GL_MAX_PROGRAM_TEXTURE_GATHER_OFFSET:
+            *params = dynamicParameters.MaxProgramTextureGatherOffset;
+            break;
         case GL_MAX_SHADER_STORAGE_BUFFER_BINDINGS:
             *params = static_cast<GLint>(GetIndexedBufferQueryPointCount(BufferTarget::ShaderStorage));
             break;
diff --git a/MobileGL/MG_Util/BackendLoaders/OpenGL/Loader.cpp b/MobileGL/MG_Util/BackendLoaders/OpenGL/Loader.cpp
index ff73b843..2e367d80 100644
--- a/MobileGL/MG_Util/BackendLoaders/OpenGL/Loader.cpp
+++ b/MobileGL/MG_Util/BackendLoaders/OpenGL/Loader.cpp
@@ -916,6 +916,10 @@ namespace MobileGL::MG_Util::BackendLoader {
         GLfloat minFragmentInterpolationOffset = -0.5f;
         GLfloat maxFragmentInterpolationOffset = 0.4375f;
         GLint fragmentInterpolationOffsetBits = 4;
+        // Core minimums of both APIs (GL 4.6 table 23.53, ES 3.1 table 20.40); the probe
+        // below only ever widens them.
+        GLint minProgramTextureGatherOffset = -8;
+        GLint maxProgramTextureGatherOffset = 7;
         glesFuncs.glGetFloatv(GL_ALIASED_LINE_WIDTH_RANGE, aliasedLineWidthRange);
         glesFuncs.glGetFloatv(GL_SMOOTH_LINE_WIDTH_RANGE, smoothLineWidthRange);
         glesFuncs.glGetFloatv(GL_SMOOTH_LINE_WIDTH_GRANULARITY, &smoothLineWidthGranularity);
@@ -944,6 +948,12 @@ namespace MobileGL::MG_Util::BackendLoader {
         // single test case. 1 is a spec-legal value (the minimum required), so cap
         // to what is actually implemented instead of forwarding the raw driver limit.
         maxSampleMaskWords = std::min(maxSampleMaskWords, 1);
+        glesFuncs.glGetIntegerv(GL_MIN_PROGRAM_TEXTURE_GATHER_OFFSET, &minProgramTextureGatherOffset);
+        glesFuncs.glGetIntegerv(GL_MAX_PROGRAM_TEXTURE_GATHER_OFFSET, &maxProgramTextureGatherOffset);
+        // A driver that leaves the probe untouched (pre-ES 3.1, or an ignored enum) must not
+        // drag the advertised range below what GL 4.0 requires of us.
+        minProgramTextureGatherOffset = std::min(minProgramTextureGatherOffset, -8);
+        maxProgramTextureGatherOffset = std::max(maxProgramTextureGatherOffset, 7);
         glesFuncs.glGetIntegerv(GL_MAX_TEXTURE_IMAGE_UNITS, &maxTextureImageUnits);
         glesFuncs.glGetIntegerv(GL_MAX_VERTEX_TEXTURE_IMAGE_UNITS, &maxVertexTextureImageUnits);
         glesFuncs.glGetIntegerv(GL_MAX_COMPUTE_TEXTURE_IMAGE_UNITS, &maxComputeTextureImageUnits);
@@ -1027,6 +1037,8 @@ namespace MobileGL::MG_Util::BackendLoader {
         caps.MaxIntegerSamples = maxIntegerSamples;
         caps.MaxSamples = maxSamples;
         caps.MaxSampleMaskWords = maxSampleMaskWords;
+        caps.MinProgramTextureGatherOffset = minProgramTextureGatherOffset;
+        caps.MaxProgramTextureGatherOffset = maxProgramTextureGatherOffset;
         caps.MaxTextureImageUnits = maxTextureImageUnits;
         caps.MaxVertexTextureImageUnits = maxVertexTextureImageUnits;
         caps.MaxComputeTextureImageUnits = maxComputeTextureImageUnits;
diff --git a/MobileGL/MG_Util/BackendLoaders/OpenGL/Loader.h b/MobileGL/MG_Util/BackendLoaders/OpenGL/Loader.h
index 45ba3ed3..9971140f 100644
--- a/MobileGL/MG_Util/BackendLoaders/OpenGL/Loader.h
+++ b/MobileGL/MG_Util/BackendLoaders/OpenGL/Loader.h
@@ -1102,6 +1102,8 @@ namespace MobileGL {
             Int MaxIntegerSamples = 1;
             Int MaxSamples = 1;
             Int MaxSampleMaskWords = 1;
+            Int MinProgramTextureGatherOffset = -8;
+            Int MaxProgramTextureGatherOffset = 7;
             Int MaxTextureImageUnits = 32;
             Int MaxVertexTextureImageUnits = 32;
             Int MaxComputeTextureImageUnits = 32;