Swansea chairman Huw Jenkins has confirmed Francesco Guidolin's future will be on the agenda at a board meeting this week.
Guidolin has guided Swansea to safety since his surprise appointment as head coach in January, with Saturday's 4-1 win at West Ham taking them to 11th place in the Barclays Premier League.
The Italian has made no secret of his desire to extend his short-term deal at Swansea, with Jenkins always saying the situation would be discussed at the end of the season.
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Guidolin on the agenda
"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."
Former Swansea manager Brendan Rodgers has been heavily linked with a return to the Liberty Stadium this summer.
Rodgers took Swansea into the Premier League in 2011 before leaving for Liverpool in 2012 for a three-and-a-half-year spell on Merseyside.
The Northern Irishman disclosed in January that he had been approached by Swansea to succeed the sacked Garry Monk, but he said that he wanted to take a break from football until the summer.
Since then Guidolin, the former Parma and Udinese manager, has done his chances of holding on to the job no harm with seven wins and three draws from his 15 games in charge.
Guidolin a hit
"He (Guidolin) has brought exactly what he thought he would bring to us," said Jenkins.
"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."
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