It's being claimed that West Ham United and West Bromwich Albion, said last month to be readying a £7 million bid, have been impressed by the Cherries star.
West Bromwich Albion are reportedly interested in Bournemouth defender Steve Cook, but should they be focusing on strengthening different positions first?
The Bournemouth player is being targeted by West Bromwich Albion as a long-term replacement for Gareth McAuley.
Karius has yet to convince anyone that he can provide the platform for a title push this season under Jurgen Klopp.
Bournemouth - and their manager Eddie Howe - received plenty of praise on Twitter from jubilant Cherries fans after their 6-1 thumping of Hull City.
The Bournemouth player feels that his team-mates should have been selected for the latest England national side.
Arsenal failed to win against West Ham United in the Premier League at the weekend.
Wilson ended a six-month injury lay-off at Aston Villa on Saturday and is keen to finish top of the Cherries' goalscoring charts.
AFC Bournemouth defender Steve Cook was less than impressed with Alan Shearer's comments aired on Match of the Day 2.
Bournemouth pair Andrew Surman and Steve Cook hold differing opinions regarding who will avoid relegation from the Premier League.