The A’s will set the Coliseum’s all-time baseball attendance mark Saturday night and the game is projected to draw the biggest crowd of the current major-league season.

All seats to Mt. Davis, opened for the first time in 13 seasons, sold out by Friday night, and the remaining tickets to other locations in the stadium were snapped up Saturday morning. There will be no walk-up tickets available.

The current record for a baseball crowd at the Coliseum is 55,989, set June 26, 2004, against the Giants, but Saturday’s capacity, with Mt. Davis added, will be 56,782. The largest crowd in the majors this year was 53,904 for a game between the Dodgers and Cubs in Los Angeles on June 26.

The parking lots will be open at noon for the 6:05 p.m. game and the A’s encourage patrons to arrive early or take public transit. Despite such announcements Friday, which drew a crowd of 45,606, there were waits of 45 minutes or more to get into Coliseum lots for the first game of the series.

Mt. Davis was closed after the 2005 season, but the tarps were taken off this season in the event the area was needed for the April 17 free game against the White Sox.

Susan Slusser is a San Francisco Chronicle staff writer. Email: sslusser@sfchronicle.com Twitter: @susanslusser