Skinny tires on it would be fine. Leave the fatter tires on it now that it's getting to be winter and roads are starting to get slippery-er. Once summer comes, you can put 700x28 tires on it and it won't look weird. Can even put 25s or 23s on it, but you'll have to decide whether or not those make the ride too harsh.
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Bikes: 1996 Eddy Merckx Titanium EX, 1989/90 Colnago Super(issimo?) Piu(?), 1990 Concorde Aquila(hit by car while riding), others in build queue "when I get the time"