1 month 12 days baby, help!

Hello mummies! I’m a FTM. Is it normal for my littleone to sleep on me? Like wheni put her down, she will wake up on the spot or 10-15 minutes later. But if i carry her or let her sleep on my chest, she can sleep for a solid 1.5-2 hours or more. Is this normal? 😭 how do i train her to sleep on her cot? Or will she faze out by herself?#advicepls #firstbaby