This is according to the Express, who understand that De Bruyne's recent eye-catching form with Bundesliga outfit Wolfsburg has alerted the aforementioned Premier League clubs' attention.
The 23-year-old initially joined Chelsea in a £7 million move from Genk two years ago, before rejoining the Belgian club on loan. He then spent the 2012-13 campaign on loan with Werder Bremen before returning to Stamford Bridge at the start of Jose Mourinho's second spell in charge of Chelsea.
De Bruyne failed at Chelsea
Despite a couple of outings under Mourinho at the start of the 2013-14 season, De Bruyne went on to make just nine appearances in all competitions - three in the Premier League - and left Stamford Bridge 12 months ago for £18 million.
Back at the Volkswagen Arena, the versatile winger - who is capable of playing on either flank, but predominantly plays as a central playmaker - has rediscovered his best form.
De Bruyne's fine form
In the second half of last season he scored three goals and provided six assists in 18 appearances, while so far this term he has six goals and 12 assists from 22 matches.
Thanks largely to De Bruyne's contribution, Wolfsburg currently find themselves second in the Bundesliga table, six points clear of third-placed Bayer Leverkusen.
But the German club could lose the Belgium international before the January transfer window closes on February 2 if one of the interested English clubs submits a bid in the region of £25 million.
Manager and agent not surprised by interest
Wolfsburg coach Dieter Hecking recently admitted he was not surprised to hear top European clubs are interested in his star player.
"It is normal that clubs like Manchester United deal with top people," he told reporters. "This is recognition of his and our work."
While De Bruyne's agent, Patrick de Koster, recently admitted: "I know some clubs are interested in him."
It's possible that United boss Louis van Gaal may regard De Bruyne as a potential replacement for Spanish playmaker Juan Mata, who has failed to produce his best form since joining the Red Devils from Chelsea in January 2014.
Competition for first-team places is arguably fiercer at Manchester City and Arsenal - and De Bruyne will not consider leaving Wolfsburg unless guaranteed regular playing time.