What you can do is restore your database to another location and then run the full CHECKDB statement there. You really do need to do the internal logical checks as well as the physical checks. You can have corruption that is purely logical as well as corruption that is purely physical. You must check both.

By restoring the database to a second location not only have you offloaded the full check to save processing on your primary machine, but you've also done a test restore of your backup, which is something else that's good to do.