While Cleveland swept the Chicago White Sox in the first doubleheader of the season on Tuesday, union head Tony Clark called Deputy Commissioner Dan Halem and said players might want to consider shortened twinbills this year.
The players' association is surveying members and may propose either two seven-inning games for a twinbill of nine innings for the opener and seven for the nightcap.
Major League Baseball is checking opinions at the owner and general manager levels, and staff hopes for a decision by Saturday to make a change or leave the rules the way the are.
Philadelphia and Toronto are scheduled for a doubleheader on Saturday as the Phillies resume play following a five-day layoff.