2020 MLB Mock Draft Here is our 2020 MLB mock draft. The 2020 MLB draft is likely still set for Wednesday June 10th and will be done virtually. The number of rounds could 10, and not the regular 40. The MLB and MLBPA are still working on details. Organizational ‘needs’ and draft tendencies have losely been taken into consideration for this mock. We’ve begun to add some prospect profiles and have added videos for most players in our mock.