Not only can't this happen, but I think the opposite will become true, meaning a temporary reduction in scholarships.  NCAA member schools receive 75% of their revenues on average from the NCAA Tournament.  This percentage is likely to be less at Division 1 football schools and more in conferences like the A10.  Without this revenue, schools will have to find ways to cut expenses.  Dropping sports may certainly be on the table.  Another measure may be for the NCAA to reduce the number of basketball scholarships from 13 to either 12 or 11 for a certain set period while not allowing walk-ons to travel to away games.  While schools do not receive tuition from scholarship athletes, there are real costs associated with educating, housing and feeding these athletes.  Reducing scholarships also means less money spent on travel, hotels, etc. for these players since walk-ons would not be traveling to road games.  I obviously don't know the exact math but if the NCAA were to impose a reduction in scholarship players from say 13 to 11 were to take place for say a three year period, this would help offset the loss in revenue from not having the NCAA Tournament take place in 2020.