Should my gas stove smell faintly of gas?

I just moved into a house with a gas stove, I haven’t had one in years. A few times throughout the day I’ve walked through the kitchen and caught a faint whiff of gas, nothing strong, and even when I smell it if I stop and try to make sure I usually don’t smell it again.

I checked the pilot lights on the stove and they’re lit, nothing seems amiss, there’s definitely no buildup but I’m just wondering if it’s something worth worrying about? If it is, how do I check it out further? I’d like to think I’m fairly handy, but don’t know where to start on this one.

Thanks for the help.