Paul Lambert was sacked by Villa after two-and-a-half years in charge on Wednesday afternoon and Klinsmann was quickly instilled as the second-favourite behind former Spurs boss Tim Sherwood.
Villa’s American owner Randy Lerner is believed to have been impressed by the work Klinsmann has done with the USMNT and wants the German to come and save the Villains from possible relegation with just 13 games left in the Premier League season.
But ESPN’s report indicates Klinsmann is unwilling to take a job with a struggling side this far into a season.
The other problem is that the long-term future of Aston Villa is far from clear as Lerner put the club up for sale last May.
Villa have scored just 12 goals in 25 Premier League games this season – the lowest tally in the top four tiers of English football – and so taking the job on now will be a real challenge for whoever comes in.
Sherwood remains the odds-on favourite with bookmakers with Alan Curbishley, Glenn Hoddle and Steve McClaren also linked.
And despite early indications Klinsmann could abandon his USMNT project early to save Villa, the German remains focused on guiding the USA to the 2018 World Cup.
Who should Aston Villa appoint as their new manager?