No — there is no sleeper train to Liverpool, and there's no plan to introduce one. Britain's only two overnight sleeper services run between London and Scotland (the Caledonian Sleeper) and between London and Penzance in Cornwall (the GWR Night Riviera); neither calls at Liverpool or anywhere in the North West. The fastest way between London and Liverpool is a daytime Avanti West Coast train from London Euston to Liverpool Lime Street, taking a little over two hours — quick enough that an overnight would make no sense for that distance. Sleepers earn their place only on the long hauls to the Scottish Highlands or the far South West, where you genuinely sleep through the miles and save a hotel night; over a two-hour route the maths simply doesn't work. If your real goal is an overnight rail experience, your only UK options are the Caledonian Sleeper north or the Night Riviera south-west — and if you're travelling from Liverpool up to Scotland, you'd take a daytime connection to join the sleeper rather than expect one from Liverpool itself. For Liverpool, plan a daytime journey, and check current Avanti timetables and fares when you book, as services vary between timetable periods.
Sources: seat61.com
Ready to travel? Compare cabins and fares, then book with confidence.