At an airline I used to work for, they had a system for people new on type, whereby you wouldn't fly with another new on type pilot for 3 months, so about 200-250 hours (although it was an time based restriction and not an hours based one).
Always more desirable to be on a jet for your career. I was very fortunate and went with about 300 hours total from twin piston IR on an AA7/GA7 to B737-200. So it can and has been done, especially if you are in a company sponsored scheme - I was not.