The 30-year-old midfielder is one of the most in-demand players in the Premier League after he impressed at Brentford during the second half of last season - but he's still to make a decision on his future.
Transfer expert Fabrizio Romano wrote on Twitter: "Christian Eriksen will make a decision on his future club soon. Manchester United have confirmed their interest to his agent, while Brentford are still in the race. [Danish flag emoji] #transfers Tottenham, now focused on right back, centre back and then striker after three signings completed. (sic)"
Brentford have made a big effort to encourage Eriksen to sign a new contract with them, and it's thought that the midfielder would like to remain in London, the BBC reports.
The former Spurs star suffered a cardiac arrest while playing at Euro 2020. But he was subsequently fitted with a Implantable Cardioverter Defibrillator (ICD) and has been able to resume his career.
Eriksen previously admitted that he wouldn't have returned to playing the game if there were any risks to his health.
The Danish star - who was released by Inter Milan last year because the ICD device is not permitted in Serie A - shared: "For me, if there was a risk, I wouldn’t come back. It was that easy.
"They did all the testing; I went three months without doing anything, just getting the mind and the family [right], getting used to still being here."