It emerged this week that the Welsh outfit had severed ties with Tutumlu following a dispute over transfer policy and there has been doubt over whether or not Laudrup will remain as manager.
Laudrup says his intention is to stay, though, and Tutumlu has also now emphasised that the 48-year-old will not be leaving.
Tutumlu claims there is only an issue between himself and Swans chairman Huw Jenkins.
“There is no problem with Michael Laudrup and Swansea City,” said Tutumlu, quoted by the BBC. “He is staying. It is my problem, my problem with Huw Jenkins.”
It is understood the initial disagreement was over the amount of money available for Laudrup to spend on new players this summer as Swansea, last season’s Capital One Cup winners, look to strengthen for a European campaign.
But the club was also unhappy at Tutumlu’s desire to put forward his own list of proposed transfer targets, with the final straw being the agent’s involvement in the potential sale of defender Ashley Williams, despite the Swans having no intention of letting the reported Arsenal target go.