depending on your daughter's age, you can help her share some caring duties for the pet. this will definitely help to strengthen the bond.
also, make sure that you spend a lot of quality time with her and tell her each day that you love her. explain to her that you love her the most, and that the pet is like her little brother or sister, and there are some things that it cannot do on its own, so you have to help do it. sometimes, ask another family member to take up some of the caring duties, so that your daughter does not feel so jealous.