David Hopkin is to decide on his future in the coming weeks after being offered a new deal to remain as manager at Livingston.
The former Leeds and Scotland midfielder has led the club to successive promotions, culminating in a return to the Scottish Premiership for the first time in 12 years.
However, Hopkin is out of contract and has told the Livingston board he has had interest in his services from other clubs.
Sky Sports News understands St Mirren – who also won promotion from the Scottish Championship this season – are one of those teams, as they search for a replacement for Jack Ross.
Hopkin is taking a holiday this week and the Livingston board say they are willing to give him until June 10 – when the transfer window opens – to come to a decision on where his future lies.
A Livingston statement read: “The club has held talks with David with a view to retaining him as manager and building on the remarkable success we have enjoyed during his time here.
“A budget and offer have been put to him today. We are very hopeful that David will see his future at Livingston.
“David has been open and honest with the board and verified that he has had other interest. He heads off on holiday on Wednesday and will use that time to reflect and come to a decision on his future.
“The transfer window is closed until June 10 so the board is comfortable in giving David this time.”