My 620 race bike did that (for a few years!), it had a bit of silicone seal patched around the area which stopped the weep for quite a while & when it started to get a bit messy (after quite a few months!), I just easily stripped the silicone off, cleaned the area thoroughly, & re-applied some silicone, which again lasted for a few months before needing re-doing. It passed scruteneering regularly & never affected the performance!
I suppose it's a case of how bad is the leak & do you really want to do a strip?