A combination washer/dryer appliance may include a cabinet, a tub, a laundry basket, a heater, and a controller. The laundry basket may be rotatably mounted within the tub and define a chamber for receipt of articles for washing or drying. The controller may be operably coupled to the heater and configured to initiate a wash/dry operation. The wash/dry operation may include initiating a wash/dry operation for articles within the laundry basket. The wash/dry operation may include a wash cycle and a dry cycle. The wash/dry operation may further include determining completion of the wash cycle and directing a tumble cycle of the laundry basket in response to determining completion of the wash cycle. The wash/dry operation may still further include determining a user drying preference during the tumble cycle of the laundry basket and adjusting the wash/dry operation based on the determined user drying preference.