Put the 11s on and check they fit the nut.
If the nut is from new then they are cut for 9s. Cut for 9s with shallow slots, they will fit 10s but bind on 11s.
If the nut has not been filed then what was just-about acceptable action for 9s will be heavy on 11s and the nut will need dressing: a from-new nut needs dressing anyway.
If you have had a full and proper setup done for 10s then the nut should have been dressed along with the action and intonation.
If this has been done then little adjustment will be needed to step up to 11s. You will need to tweak the intonation, especially if you use a 3W. A small tighten of the truss rod maybe necessary, perhaps 1/4 turn.
Always do nut/setup/intonation with the strings on at your concert pitch (whether E or Eb).
After fitting those 11s, wait. Wait for the guitar to settle down, maybe 2-3 days at concert, play the strings in before attempting intonation, never attempt intonation on brand new strings.
There's two kinds of people, those that hear the music and those that don't.