LO bumping head

Debbie

So my LO is in a Moses next to my bed and recently I have woken to him hitting his head against the side of it repeatedly. The only trouble is the size of him now means where he is hitting he’s actually bumping his head on the frame holding it. I know it’s cushioned by the wicker but the wood is quite hard and he hits it hard. I don’t know whether to place his Moses in his cot now to stop him from hurting himself but am worried he will tip it over. He’s only just coming up to 4 months and I don’t really want him in his cot yet but if he’s gonna harm himself by being in the basket then I may have to. Anybody got any suggestions?