I'm sure if it is a compressor refrigerator it is either 12 volt or Winnebago installed an inverter so it could operate on the coach batteries while traveling between campgrounds or between generator uses. Outlook was a lower priced RV line for Winnebago so I beleive it originally came with two RV/Marine batteries which when new together had a usable capacity of about 120 amp-hours if you are willing to run them down to 30% or so left. If you have not replaced them yet that's probally down to about 80 or 90 AH usable now after the batteries are 3-4 years old.
A small compressor refrigerator uses about 50 - 80 amp-hours per day so you should be able to leave on a drive with charged batteries, with refrigerator on you would use a lot of your battery storage but not all to drive from point A to point B. If it is a 120 VAC fridge it's OK to leave the inverter on so long as you monitor your battery level carefully.
Also, if your driving, the Outlook should have technology that allows the chassis 12 volt system to connect to the coach 12 volt system and use the alternator output to maintain and/or charge the coach batteries. That said, Winnebago cut some serious corners on the Outlook to give it a lower price point than the Vista line, so they may have left off this feature off.
If left off, you could add this functionality in the form of a DC-DC charger like this one I have from Renogy:
40A DC-DC Charger: and then there would be no worries about the refrigerator running down the coach batteries if left on when driving.