"We have an agreement," Hedman told the soccer website of Swedish television channel TV4.
The 33-year-old came out of retirement after Petr Cech's long-term injury. He is being considered as a back-up to Carlo Cudicini and Hilario.
The website said Hedman was on his way to London to sign a contract, which would last to the end of the season.
Hedman, a former Celtic and Coventry City goalkeeper, has worked as a pundit for TV4 since retiring from the game in 2005.
Cech is still recovering from a fractured skull suffered last month in a league win at Reading. The Czech international had two metal plates inserted into his head and is not expected to return to training until late January.
Previous third-choice Hilario has deputised for Cech and Cudicini, who was also knocked unconscious at Reading but returned for Chelsea's League Cup win over Aston Villa.
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