Frodo's clothes at Crickhollow

[Trippo The Hippo]

Even though Fatty had been instructed to tell any visiting hobbits that Frodo was busy or sick

Well if Fatty was supposed to tell everyone that Frodo was busy or sick. Wouldn't a hobbit find it odd if they knocked on the door to have Fatty answer the door wearing Frodo's clothes which were way too small and his reply being he is sick?