The Belgian is out of contract with the Foxes in 18 months, which means the club could end up having to let him leave for free if they do not agree to a new contract before the summer.
The 24-year-old has been linked with Arsenal throughout this transfer window, with the Gunners looking to bolster their squad heading into the second half of the campaign, and talks have already happened.
According to Football London, they are set to continue this week with the London-based club aiming to push in order to make a potential transfer take place within this month.
Tielemans has made 16 appearances in the Premier League this season, finding the back of the net five times, while he also featured five times in the Europa League.
Leicester City will be back in action on February 6 against Nottingham Forest in the FA Cup. body check tags ::