Need for gift deed

I am a taxpayer and have plan to purchase a property. My mother has a Fixed Deposit maturing soon where my father is also a joint account holder (1st account holder being my mother and 2nd holder being my father). Upon maturity, the money is set to be transferred to a Savings Account jointly held by my father (1st holder) and my mother (2nd holder). My father/mother wishes to transfer the entire amount upon maturity to my account ( where I am the sole account holder) as a gift to fund the property purchase. Is this kind of a transaction advisable w.r.t. the prevailing taxation rules? I understand that a gift deed is advisable and taxes would be applicable for transactions within family. However, the concern here is that both the accounts (FD and savings) are held jointly by my parents but the FD has my mother as the first account holder whilst the Savings account has my father as the first account holder. Kindly advise.