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Francesco Guidolin's future at Swansea will be discussed at this week's board meeting.
Guidolin signed a short-term contract when he was appointed head coach of Swansea on January but the Italian is keen to remain at the Liberty Stadium after guiding them to safety.
Former Swansea manager Brendan Rodgers has been strongly linked with a return to the club in the summer and chairman Huw Jenkins has confirmed that the managerial position is on the agenda for Wednesday's board meeting.
"We have got our normal monthly board meeting on Wednesday and, yes, we will be discussing the managerial situation," Jenkins told the South Wales Evening Post.
"We are talking things through this week and we will give out a further update when we can.
"It could be this week or it could be next week when a decision is made.
"There's lots to talk through. We will talk about the season we have had, where we have finished and what we feel we need in the summer."
Swansea have won seven of the 15 games they have played under Guidolin with Saturday's 4-1 win at West Ham taking them to 11th place in the Premier League.
Paying tribute to the Italian, Jenkins added: "He (Guidolin) has brought exactly what he thought he would bring to us.
"He has adjusted in his time here - he has got to know the squad and got used to the Premier League.
"He has brought in a bit of common sense and a bit of simplicity, as well as experience.
"I don't think those simple things are highlighted enough in the modern world of football.
"Sometimes other things are given too much prominence and some over-analysing goes on."