The Daily Mail reports that Manchester City and Manchester United are also interested in the 20-year-old, but are not expected to make an offer in this transfer window.
Chelsea owner Roman Abramovich is keen to bring in exciting young talent this summer and Rodwell fits the bill.
Everton are ready to sell in order to give David Moyes funds to get the side back into the top five again next season.
Rodwell is valued at £25million.
