The 'Crimson Field' actress is said to have had a "whirlwind romance" with the 45-year-old, after claiming she was single just six weeks ago, reported Digital Spy.
Jones was photographed wearing what appeared to be an engagement ring while greeting former 'Coronation Street' co-star Sally Lindsay earlier this week.
Akers works as an editor for Nikon Pro magazine and a hotel travel magazine.
Jones has previously dated 'Coronation Street' star Jonathan Wrather, 'EastEnders' actor Marc Bannerman, and ex-Feeder drummer Mark Richardson.
Her period drama 'The Crimson Field' came to its conclusion on BBC One earlier this month. The final episode enjoyed a ratings boost, with 5.1 million viewers tuning in.