Sky Sports claim a £20m deal is in the pipeline for the Oakwell club, who currently sit 15th in the Championship.
The consortium, headed by Chinese billionaire Chien Lee and American businessman Paul Conway, will reportedly hand Oakland Athletics Executive vice-president Beane a seat on the board.
The takeover is expected be completed next week and comes just days after current Barnsley owner Patrick Cryne, who has terminal bowel cancer, told supporters he does not expect to live until the end of the season.
Beane rose to prominence in baseball with the Oakland Athletics by using statistics to identify undervalued or disregarded players – now widely known as the ‘Moneyball’ concept.
Lee has been trying to buy an English Premier League club since last year and had previously held talks with Hull and Middlesbrough.
A goal apiece from James Tomkins and Luka Milivojevic handed Crystal Palace a crucial 2-0 win over Huddersfield at the John Smith's Stadium on Saturday evening.
Manchester United bounced back from their Champions League exit as they beat Brighton 2-0 at Old Trafford on Saturday night to reach the FA Cup semi-finals.
Tottenham reached the FA Cup semi-finals after they cruised to a 3-0 victory over Swansea in their quarter-final clash at the Liberty Stadium on Saturday.
Premier League basement club West Brom squandered the lead as they suffered a 2-1 defeat to Bournemouth at the Vitality Stadium on Saturday.
Chesterfield boss Jack Lester felt his side were unlucky not to claim all three points after their 1-1 draw at Cheltenham.
New Swindon manager Phil Brown revelled in his side's victory at Cambridge in his first game in charge.