Kone has sustained a back injury and will not feature in Sunday's Wear-Tees derby.
The 34-year-old defender was expected to join the Scottish Premiership side before the deal suddenly fell through at the last minute.
The winger is a big-money signing from Crystal Palace this summer.
Cardiff City have so far played four games this season but have failed to score a single goal.
Sunderland defender Lamine Kone has been linked with a move to Everton in the summer transfer window.
Manchester United's world-record signing was upbeat ahead of the clash with Southampton at Old Trafford this evening.
Arsenal had intially expected Welbeck to return in February.
The Hammers have already made eight new signings this summer.
Siem de Jong is set to return to Holland and join PSV on loan.
One Hull City fan looked a little silly after questioning the source of a claim made about a Saints striker.