I agree with sreinster. If there are really no compelling reason for this, then they should be completely qualified. In your case 3 part qualification. Especially if your DBs are quite busy. Then every bit of performance you can gain counts.

Also keep in mind that if by any chance it does recompile, there is no guarantee that it will take the right execution plan. It might take a bad execution plan. That is something that you really need to avoid. I have seen stored procs that take bad query plan increase the CPU use of the SQL Server by 10%.