The 24-year-old has fallen down the pecking order at Chelsea following the arrivals of Liam Delap and Joao Pedro earlier in the summer.
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Jackson is subject to interest from several clubs in the Premier League and abroad, but Chelsea’s £60 million asking price has made any potential deal tricky.
According to TalkSPORT, Chelsea are willing to let the Senegal international leave loan this transfer window as long as they receive a £10 million loan fee.
German giants Bayern Munich are understood to have agreed personal terms with Jackson, but Chelsea are holding out on a sizeable payment as part of any loan deal.
The imminent arrival of Garnacho from Man United may force Chelsea’s hand, however, as they hope to free up some space.