An extra 75 police officers will be on duty on Wednesday, and spot checks will be made at pubs around the ground in what is described as "the highest risk" game at Old Trafford this season.
The first leg, which City won 2-1, saw Tevez and United substitute Neville exchange gestures. Tevez later called his former team-mate "a moron" and "a bootlicker".
Police made 18 arrests at last week's match and expect to make more before Wednesday's return. Ian Hopkins, assistant chief constable of Greater Manchester police, warned that players had a "responsibility not to do anything that's likely to incite the crowd".