Sam Allardyce's contract at Upton Park is up at the end of the current campaign and WalesOnline suggest Laudrup's link to the east London side means an Allardyce exit ahead of next season is looking 'increasingly likely.'
The Dane is rated as low as 25/1 for the West Ham job by some bookmakers, according to sports betting website Oddschecker, although those odds could shorten should speculation continue in the coming days.
Laudrup has enjoyed a mixed career in management, as opposed to his blistering time as a player.
At Swansea, the 50-year-old won the Capital One Cup but ended up leaving the Welsh side after a poor run of form and a fractious relationship with his employer.
Could the Dane be perfect for West Ham, however? Only time will tell but Laudrup does boast something many other reported candidates for the Hammers post don't - attacking football.
West Ham face Everton and Newcastle United in their last two Premier League games of the season, while Swansea host Manchester City and travel to Crystal Palace to close their campaign.