If I put a 350 with a 330 transmission will it work or would I have to buy a new trans?

My uncle gave me a 1965 cutlass but it has no engine it originally had a 330 but I what to put a 350 so would it work?
My uncle gave me a 1965 cutlass with no engine and my dad say I would not need to change the Trans the car originally had a 330 but I want a 350

From all accounts that i'm able to find, you will need to get another transmission for your 350 motor , you my also have to change or modifie your drive shaft.,,,,,,,,,,,,,,,,,,,,,,,,, TURBO HYDRAMATIC 250 & 350
General Motors 1969 & Later

13 Pan Bolts
THM250 (TH250) - Used in small 4 cylinder cars (Vega, Sunbird, Monza) from 1973 to 1981 and some Nova/Camaro/Chevelle 6 cylinders in 1974 & 75. The 4 cylinder models have 4 large cooling holes near the torque converter, while on the "bigger cars" there are no cooling holes. All THM250's have a 2nd gear band adjusment screw.


THM350 (TH350) - Medium duty 3 speed trans used from 1969 to 1989. Used in Buick, Olds, Pontiac and Chevrolet cars and Chevy & GMC light trucks until 1987. Generally used in straight and V6 and small block engines. Generally able to handle up to 400 foot pounds of torque.

THM375B (TH375B) - This trans is identical to the THM350, but is considered a heavier duty version of this transmission.

Gear ratios on these units were 2.52 1st gear, 1.52 2nd gear, 1.00 3rd gear.

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TURBO HYDRAMATIC 400 & 375
General Motors 1965 & Later