The 18-year-old only signed a new five-year deal with the Belgium side last month, but is still a target for the Premier League pair.
Apart from the two mentioned teams, La Liga giants Atletico Madrid have also been linked with a move for the central midfielder.
It is believed that Anderlecht are valuing him at around the £14.1million region, a fee that is being regarded as too unrealistic by a number of interested parties.
The Belgium starlet is yet to represent his nation at senior level, but has already been capped at the Under-15, Under-16, and Under-21 levels.
Tielemans featured a total of 51 times in all competitions last term, scoring eight while providing a further six assists, and has already registered three goals in his previous six league fixtures this season.