diff --git a/lucene/CHANGES.txt b/lucene/CHANGES.txt
index d23d5c84a52..e7f352390a5 100644
--- a/lucene/CHANGES.txt
+++ b/lucene/CHANGES.txt
@@ -102,6 +102,9 @@ Optimizations
 * GITHUB#14000: Speed up top-k retrieval of filtered disjunctions.
   (Adrien Grand)
 
+* GITHUB#13999: CombinedFieldQuery now returns non-infinite maximum scores,
+  making it eligible to dynamic pruning. (Adrien Grand)
+
 Bug Fixes
 ---------------------
 * GITHUB#13832: Fixed an issue where the DefaultPassageFormatter.format method did not format passages as intended
diff --git a/lucene/sandbox/src/java/org/apache/lucene/sandbox/search/CombinedFieldQuery.java b/lucene/sandbox/src/java/org/apache/lucene/sandbox/search/CombinedFieldQuery.java
index 8f21c8e1850..f709cfe2f75 100644
--- a/lucene/sandbox/src/java/org/apache/lucene/sandbox/search/CombinedFieldQuery.java
+++ b/lucene/sandbox/src/java/org/apache/lucene/sandbox/search/CombinedFieldQuery.java
@@ -438,12 +438,14 @@ public final class CombinedFieldQuery extends Query implements Accountable {
     private final DisiPriorityQueue queue;
     private final DocIdSetIterator iterator;
     private final MultiNormsLeafSimScorer simScorer;
+    private final float maxScore;
 
     CombinedFieldScorer(
         DisiPriorityQueue queue, DocIdSetIterator iterator, MultiNormsLeafSimScorer simScorer) {
       this.queue = queue;
       this.iterator = iterator;
       this.simScorer = simScorer;
+      this.maxScore = simScorer.getSimScorer().score(Float.POSITIVE_INFINITY, 1L);
     }
 
     @Override
@@ -475,7 +477,7 @@ public final class CombinedFieldQuery extends Query implements Accountable {
 
     @Override
     public float getMaxScore(int upTo) throws IOException {
-      return Float.POSITIVE_INFINITY;
+      return maxScore;
     }
   }
 }
diff --git a/lucene/sandbox/src/java/org/apache/lucene/sandbox/search/MultiNormsLeafSimScorer.java b/lucene/sandbox/src/java/org/apache/lucene/sandbox/search/MultiNormsLeafSimScorer.java
index 026fa4130d3..e13fc903999 100644
--- a/lucene/sandbox/src/java/org/apache/lucene/sandbox/search/MultiNormsLeafSimScorer.java
+++ b/lucene/sandbox/src/java/org/apache/lucene/sandbox/search/MultiNormsLeafSimScorer.java
@@ -90,6 +90,10 @@ final class MultiNormsLeafSimScorer {
     }
   }
 
+  SimScorer getSimScorer() {
+    return scorer;
+  }
+
   private long getNormValue(int doc) throws IOException {
     if (norms != null) {
       boolean found = norms.advanceExact(doc);