diff --git a/base/changes.txt b/base/changes.txt
index 04ad4c708..35a396959 100644
--- a/base/changes.txt
+++ b/base/changes.txt
@@ -13,6 +13,12 @@ not part of the distribution.
 	Document more prominently that using a hook with \UseHook or similar
 	commands requires that the hook to be declared first (gh/1519)
 
+2025-02-01  Jonathan P. Spratte
+
+    * ltcmd.dtx (subsection{User functions}):
+    Generalise \ProcessList by using \tl_map_tokens:nn instead of
+    \tl_map_function:nN.
+
 2025-01-31  Frank Mittelbach  <Frank.Mittelbach@latex-project.org>
 
 	* latexrelease.dtx (subsection{Ignoring \texttt{\string_new} errors when rolling back}):
diff --git a/base/doc/usrguide.tex b/base/doc/usrguide.tex
index bb47ea997..280c05dec 100644
--- a/base/doc/usrguide.tex
+++ b/base/doc/usrguide.tex
@@ -43,7 +43,7 @@
     \texttt{usrguide.tex} for full details.}%
 }
 
-\date{2025-01-24}
+\date{2025-02-01}
 
 \NewDocumentCommand\cs{m}{\texttt{\textbackslash\detokenize{#1}}}
 \NewDocumentCommand\marg{m}{\arg{#1}}
@@ -668,15 +668,21 @@ \subsection{Argument processors}
 \end{verbatim}
 
 \begin{decl}
-  |\ProcessList| \arg{list} \arg{cmd}
+  |\ProcessList| \arg{list} \arg{tokens}
 \end{decl}
 To support \cs{SplitList}, the function \cs{ProcessList} is available
-to apply a \meta{cmd} to every entry in a \meta{list}. The
-\meta{cmd} should absorb one argument: the list entry. For example
+to apply \meta{tokens} to every entry in a \meta{list}. The
+\meta{tokens} can be arbitrary contents that should expect one argument
+after it: the list entry. For example
 \begin{verbatim}
 \NewDocumentCommand \foo {>{\SplitList{;}} m}
   {\ProcessList{#1}{\SomeDocumentCommand}}
 \end{verbatim}
+or
+\begin{verbatim}
+\NewDocumentCommand \foo {>{\SplitList{;}} m}
+  {\ProcessList{#1}{Abc \SomeDocumentCommand}}
+\end{verbatim}
 
 \begin{decl}
   |\ReverseBoolean|
diff --git a/base/ltcmd.dtx b/base/ltcmd.dtx
index acb9aac3b..928e9d89d 100644
--- a/base/ltcmd.dtx
+++ b/base/ltcmd.dtx
@@ -34,8 +34,8 @@
 %%% From File: ltcmd.dtx
 %
 %    \begin{macrocode}
-\def\ltcmdversion{v1.3a}
-\def\ltcmddate{2025-01-24}
+\def\ltcmdversion{v1.3b}
+\def\ltcmddate{2025-02-01}
 %    \end{macrocode}
 %
 %<*driver>
@@ -5706,8 +5706,10 @@
 %
 % \begin{macro}{\ProcessList}
 %   To support \cs{SplitList}.
+% \changes{v1.3b}{2025-02-01}
+%                {Use \cs{tl_map_tokens:nn} instead of \cs{tl_map_function:nN}}
 %    \begin{macrocode}
-\cs_new_eq:NN \ProcessList \tl_map_function:nN
+\cs_new_eq:NN \ProcessList \tl_map_tokens:nn
 %    \end{macrocode}
 % \end{macro}
 %
diff --git a/base/testfiles-ltcmd/ltcmd004.luatex.tlg b/base/testfiles-ltcmd/ltcmd004.luatex.tlg
index e8939aa26..e333b3f14 100644
--- a/base/testfiles-ltcmd/ltcmd004.luatex.tlg
+++ b/base/testfiles-ltcmd/ltcmd004.luatex.tlg
@@ -609,3 +609,13 @@ TEST 31: Processor depending on other argument
 |{a}{bcd;e}|1|
 |{a,bcd}{e}|1|
 ============================================================
+============================================================
+TEST 32: ProcessList
+============================================================
+a
+b,c
+|a|ARG|
+||ARG|
+|b,c|ARG|
+|\empty |ARG|
+============================================================
diff --git a/base/testfiles-ltcmd/ltcmd004.lvt b/base/testfiles-ltcmd/ltcmd004.lvt
index e6e41116b..b04effeba 100644
--- a/base/testfiles-ltcmd/ltcmd004.lvt
+++ b/base/testfiles-ltcmd/ltcmd004.lvt
@@ -518,4 +518,15 @@
     \foo { a , bcd ; e } [;]
   }
 
+\TEST { ProcessList }
+  {
+    \DeclareDocumentCommand \foo { >{\SplitList{,}}m }
+      { \ProcessList{#1}{\TYPE} }
+    \foo{a,,{b,c}}
+    \NewDocumentCommand \fooAux { m m } { \TYPE { \tl_to_str:n { |#2|#1| } } }
+    \DeclareDocumentCommand \foo { >{\SplitList{,}}m m }
+      { \ProcessList{#1}{\fooAux{#2}} }
+    \foo{a,,{b,c},\empty}{ARG}
+  }
+
 \END
diff --git a/base/testfiles-ltcmd/ltcmd004.tlg b/base/testfiles-ltcmd/ltcmd004.tlg
index ffb9ca773..9da187fdf 100644
--- a/base/testfiles-ltcmd/ltcmd004.tlg
+++ b/base/testfiles-ltcmd/ltcmd004.tlg
@@ -609,3 +609,13 @@ TEST 31: Processor depending on other argument
 |{a}{bcd;e}|1|
 |{a,bcd}{e}|1|
 ============================================================
+============================================================
+TEST 32: ProcessList
+============================================================
+a
+b,c
+|a|ARG|
+||ARG|
+|b,c|ARG|
+|\empty |ARG|
+============================================================