In a trap

Baby is one month old and always wanna suck on something. I feel like it’s getting us in a wrong pattern, she wakes up and wanna suck I give her my breast (breastfeeding by the way) and she eats for 5 mins, 10 max and an hour after she falls asleep for 30 mins and it’s start again... what can I do to break that? I don’t wanna make her wait and cry it breaks my heart