Originally Posted by cadetdrivr

Manpower planning can relax the restriction at their discretion so it never hurts to bid the 737 if that's what you desire. There have been a few recent cases of probationary pilots switching between the 737/320 despite the training freeze.

You can be awarded the 76T as soon as you can hold it in a bid. Note that your A320 freeze would disappear and you would have a new two-year 757/767 training freeze. This would limit you to switching between the 76T and 756 (via a BAT) or bidding the 777 or 747 until the freeze is up.