diff --git a/mcp/logging.go b/mcp/logging.go
index c4dd1b550..cff40da2a 100644
--- a/mcp/logging.go
+++ b/mcp/logging.go
@@ -10,6 +10,7 @@ import (
 	"context"
 	"encoding/json"
 	"log/slog"
+	"maps"
 	"slices"
 	"sync"
 	"time"
@@ -48,11 +49,24 @@ func init() {
 	}
 }
 
+// sortedSlogLevels holds the keys of slogToMCP in ascending order, for
+// mapping slog levels that fall between two MCP levels.
+var sortedSlogLevels = slices.Sorted(maps.Keys(slogToMCP))
+
+// slogLevelToMCP returns the MCP logging level for sl. A level that is not one
+// of the eight MCP levels maps to the highest MCP level that does not exceed
+// it, so that a custom level (such as slog.LevelInfo+1) is filtered the same
+// way by [LoggingHandler.Enabled] and by [ServerSession.Log], which compare
+// slog levels. Levels below LevelDebug map to "debug".
 func slogLevelToMCP(sl slog.Level) LoggingLevel {
 	if ml, ok := slogToMCP[sl]; ok {
 		return ml
 	}
-	return "debug" // for lack of a better idea
+	i, _ := slices.BinarySearch(sortedSlogLevels, sl)
+	if i == 0 {
+		return "debug"
+	}
+	return slogToMCP[sortedSlogLevels[i-1]]
 }
 
 func mcpLevelToSlog(ll LoggingLevel) slog.Level {
diff --git a/mcp/logging_test.go b/mcp/logging_test.go
new file mode 100644
index 000000000..8663899d5
--- /dev/null
+++ b/mcp/logging_test.go
@@ -0,0 +1,67 @@
+package mcp
+
+import (
+	"context"
+	"log/slog"
+	"testing"
+	"time"
+)
+
+func TestSlogLevelToMCPCustomLevels(t *testing.T) {
+	for _, tt := range []struct {
+		level slog.Level
+		want  LoggingLevel
+	}{
+		{slog.LevelDebug - 4, "debug"},
+		{slog.LevelDebug, "debug"},
+		{slog.LevelInfo - 1, "debug"},
+		{slog.LevelInfo, "info"},
+		{slog.LevelInfo + 1, "info"},
+		{LevelNotice, "notice"},
+		{slog.LevelWarn + 1, "warning"},
+		{slog.LevelError + 2, "error"},
+		{LevelEmergency + 10, "emergency"},
+	} {
+		if got := slogLevelToMCP(tt.level); got != tt.want {
+			t.Errorf("slogLevelToMCP(%v) = %q, want %q", tt.level, got, tt.want)
+		}
+	}
+}
+
+// A message logged at a custom slog level that LoggingHandler.Enabled
+// accepts must reach the client, with the nearest MCP level.
+func TestLoggingHandlerCustomLevel(t *testing.T) {
+	ctx := context.Background()
+	ct, st := NewInMemoryTransports()
+	s := NewServer(testImpl, nil)
+	ss, err := s.Connect(ctx, st, nil)
+	if err != nil {
+		t.Fatal(err)
+	}
+	got := make(chan *LoggingMessageParams, 10)
+	c := NewClient(testImpl, &ClientOptions{
+		LoggingMessageHandler: func(_ context.Context, r *LoggingMessageRequest) { got <- r.Params },
+	})
+	cs, err := c.Connect(ctx, ct, nil)
+	if err != nil {
+		t.Fatal(err)
+	}
+	defer cs.Close()
+	if err := cs.SetLoggingLevel(ctx, &SetLoggingLevelParams{Level: "info"}); err != nil {
+		t.Fatal(err)
+	}
+	logger := slog.New(NewLoggingHandler(ss, nil))
+	lvl := slog.LevelInfo + 1
+	if !logger.Enabled(ctx, lvl) {
+		t.Fatalf("Enabled(%v) = false, want true", lvl)
+	}
+	logger.Log(ctx, lvl, "hello")
+	select {
+	case p := <-got:
+		if p.Level != "info" {
+			t.Errorf("got level %q, want %q", p.Level, "info")
+		}
+	case <-time.After(2 * time.Second):
+		t.Fatalf("message at level %v was dropped", lvl)
+	}
+}