Chairman Huw Jenkins told the club's official website: "Burnley have made an approach for Jason Scotland, but our valuation for a player who has finished our top scorer for the last two seasons is miles apart.
"We value Jason very highly; after all he has scored 53 goals in the last two seasons for us."
The Swans signed Scotland in the summer of 2007, paying just £25,000 to bring him from St Johnstone where he played under current Burnley boss Owen Coyle.
But Jenkins dashed any immediate hopes of a reunion at Turf Moor, adding; "I think everyone in football is well aware that we do not need to sell anyone. And we certainly won't let any player go for below what we think they are worth; whether that's Jason Scotland or anyone else for that matter."
Berry, who also claimed Wigan were interested in the 30-year-old Trinidad and Tobago international, said: "Jason would like Swansea to seriously consider the bid because he has aspirations to play in the Premier League.
"He has sweated blood for Swansea in the past few years and hopefully the fans have enjoyed his performances.
"But Jason has turned 30, he wants to play at the highest level and play in the Premier League and this is an opportunity for him to play at the top - and I think everybody at Swansea would agree he has earned the right to do so.
"Negotiations are still on-going but I believe it is a substantial bid. I believe the bid from Burnley is in excess of £1million. But Wigan are very interested so it will be interesting."
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