2 month old behind on neck strength

My son had his 2 mo appt today. They put him on his tummy and he couldn’t lift his head. I told her I put him on the floor or boppy pillow daily at home and he doesn’t lift his head. Only on my chest he will.

He is very tiny. He was born 37 weeks only 4lb 15oz so he’s only barely 9 pounds now. Idk if that affects it but she said he needs to gain more neck strength.

I’m already doing tummy time daily on the floor and my chest. What else can I do? She made me feel bad that he’s behind.