The England international is likely to leave the Emirates after falling down the pecking order under Arsene Wenger.
The right-back has been linked with a move to newly-promoted Brighton, but now it appears as though he could be off to Italy.
According to Corriere dello Sport, Jenkinson in fact has three offers on the table from Serie A sides.
Cagliari, Sassuolo and Verona are all said to have contacted Arsenal over a deal for the 25-year-old and a bidding war could erupt.