Jake Arrieta's market is apparently heating up.

A source close to Arrieta told Gordon Wittenmyer of the Chicago Sun-Times that the free-agent right-hander is sitting on offers from six different teams that are said to be "overpay(s)" in terms of annual values.

The Chicago Cubs - the team with which Arrieta became a star over the past four-plus seasons - along with two other NL Central clubs, the St. Louis Cardinals and Milwaukee Brewers, have all reportedly offered deals to the 31-year-old former Cy Young winner, according to Wittenmyer.

Chicago reportedly offered Arrieta a four-year deal worth $110 million earlier this month. It's unknown what offers have been made by either Milwaukee or St. Louis, or the identities of the other three teams.

Both the Brewers and Cardinals had previously been linked with Arrieta this offseason, as they try to keep pace with the two-time division champion Cubs after each fell just a bit short of dethroning the North Siders this summer.

The Cubs, meanwhile, have been busy pushing for improvements to their rotation all winter. Tyler Chatwood was signed to a three-year deal, while Theo Epstein and Co. have also been linked to other available free-agent starters, including Yu Darvish and Alex Cobb.

Other teams that have been linked to Arrieta during this offseason include the Houston Astros and Washington Nationals.