Babies do not usually sit by themselves until they are about 6 months old. So there is no problem with your baby son not yet sitting unaided at his present age. In fact he seems to be doing quite well with his sitting for his age judging from your description. Do not try to encourage your baby to have tummy time if he is not interested. Continue to let him have short periods of tummy time as you are doing now. He will gradually increase the amount of tummy time by himself. Make him feel that this is all part of a game and you will see that he will start to enjoy tummy time more.
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