That depends. For example, if you play cash, I suggest moving up level-by-level, beating every level on a mid-sized sample, but in the tourney buy-ins, I guess you can move up several at once. For example I'm playing $2-3 tourneys but if I win big I'm pretty sure that I'll rarely start on anything smaller than an $11 tourney.
Tournaments have high volatility so beating all buyin levels would be pretty insane. However, lets say you win a Sunday 1/4 Million and get $25000+. I don't think that means that now you can start grinding $100 and $200 tournaments, but its fine to move aggressively on the lower limits.