diff --git a/src/renderers/shaders/ShaderLib/depth_frag.glsl.js b/src/renderers/shaders/ShaderLib/depth_frag.glsl.js
index c1a75b1caf9c8a..bfaf55cdd32074 100644
--- a/src/renderers/shaders/ShaderLib/depth_frag.glsl.js
+++ b/src/renderers/shaders/ShaderLib/depth_frag.glsl.js
@@ -13,6 +13,8 @@ export default /* glsl */`
 #include <logdepthbuf_pars_fragment>
 #include <clipping_planes_pars_fragment>
 
+varying vec2 vHighPrecisionZW;
+
 void main() {
 
 	#include <clipping_planes_fragment>
@@ -31,13 +33,16 @@ void main() {
 
 	#include <logdepthbuf_fragment>
 
+	// Higher precision equivalent of gl_FragCoord.z. This assumes depthRange has been left to its default values.
+	float fragCoordZ = 0.5 * vHighPrecisionZW[0] / vHighPrecisionZW[1] + 0.5;
+
 	#if DEPTH_PACKING == 3200
 
-		gl_FragColor = vec4( vec3( 1.0 - gl_FragCoord.z ), opacity );
+		gl_FragColor = vec4( vec3( 1.0 - fragCoordZ ), opacity );
 
 	#elif DEPTH_PACKING == 3201
 
-		gl_FragColor = packDepthToRGBA( gl_FragCoord.z );
+		gl_FragColor = packDepthToRGBA( fragCoordZ );
 
 	#endif
 
diff --git a/src/renderers/shaders/ShaderLib/depth_vert.glsl.js b/src/renderers/shaders/ShaderLib/depth_vert.glsl.js
index 4705257b0601cf..5bc70299875dba 100644
--- a/src/renderers/shaders/ShaderLib/depth_vert.glsl.js
+++ b/src/renderers/shaders/ShaderLib/depth_vert.glsl.js
@@ -7,6 +7,11 @@ export default /* glsl */`
 #include <logdepthbuf_pars_vertex>
 #include <clipping_planes_pars_vertex>
 
+// This is used for computing an equivalent of gl_FragCoord.z that is as high precision as possible.
+// Some platforms compute gl_FragCoord at a lower precision which makes the manually computed value better for
+// depth-based postprocessing effects. Reproduced on iPad with A10 processor / iPadOS 13.3.1.
+varying vec2 vHighPrecisionZW;
+
 void main() {
 
 	#include <uv_vertex>
@@ -29,5 +34,7 @@ void main() {
 	#include <logdepthbuf_vertex>
 	#include <clipping_planes_vertex>
 
+	vHighPrecisionZW = gl_Position.zw;
+
 }
 `;