The biggest problems with putting it in a 5 gallon right away: It will be easy to overwater and water will flush a lot of the nutrients out of the soil before the roots even touch it. Unless it is in a jiffy pellet, rapid rooter, etc I wouldn't pot it up. Some people go directly to 5 gallon or the ground and have no issues.
I usually do jiffy pellet until it sprouts, solo cup until roots are coming out of the bottom, #1 pot until it is ready for the ground/the final pot up.