If you dont like remaining of NH2 group in final product you can mask this group by acetylation

Both the amine moiety as well as the alcohol moiety will participate in the esterification reaction. Try protecting amine group before proceeding with the reaction.

Aazam

Amine reacts much fast than OH, you better block the NH2.

First protect the aminogroup. For example with t-BOC group.

Thank You everyone! I shall proceed with blocking the -NH2 and then proceeding with the esterification as that would be the safest option. Kindly suggest any other reactions for specific conjugation between -OH and -COOH groups! Thanks!

You should select an amine-protecting group that is easily removed.