Former Wimbledon boss Kinnear is keen to take another goalkeeper to Kenilworth Road ready for their Division Two campaign.
The Hatters had hoped to sign Dundee United goalkeeper Alan Coombe but the deal may fall through as the Scottish side are looking to charge a fee for the player.
Hahnemann is considered a viable alternative by Kinnear, speaking on the situation he told Luton Town's official site lutontown.co.uk: "The Fulham goalkeeper Marcus Hahnemann is coming to see us today. He's talking to Reading and Wasall and I don't know what the situation is there, but I'll find out."
Reading chief executive Nigel Howe yesterday admitted that the Royals were in discussions with Hahnemann's agent but news of the possible Luton switch is a bitter blow for Reading as they are likely to only be able to offer the American a place on the subs bench.
At Luton, the 29-year-old, who spent a month with Reading on loan last season, would get regular first team football.