Hill copped an arm injury and Walters hurt an ankle but neither ailments were serious, coach Ross Lyon said.
The Crows, fielding five more players, over-ran the Dockers to win 13.11 (89) to 13.6 (84) at a heat-baked AAMI Stadium.
Adelaide used 30 players and the numerical advantage proved decisive in the result, particularly as Fremantle lost Walters and Hill during the game.
Walters limped from the ground in the second quarter and Hill, who had off-season shoulder surgery, favoured his left arm when departing in the third term.
But Lyon was unfazed.
"(Walters) just had a niggle in an ankle and then he got a cork on his calf so we just tapped him out, the same as Hill," Lyon said.
"Hill had a bit of a numb arm for a minute and was just a bit vulnerable, he's pretty important to us so we tapped him out.
"He had a bit of a dead arm but he had full strength, which is a really good sign."
Fremantle booted the initial six goals and led by 35 points at half-time.
But Freo wilted in the 34 degree temperature as Adelaide's pre-arranged advantage in player numbers took effect - though it took the Crows until the 21st minute of the final quarter to take the lead.
Fremantle veteran Kepler Bradley had a set shot from 35 metres out with 15 seconds remaining to tie the final scores, but missed.
Lyon said he was missing eight of his top 22 but prime movers David Mundy and Nat Fyfe were influential in their first outings this pre-season.
Mundy gathered 17 disposals over four quarters while Fyfe collected 19 touches in three terms.
The dynamic duo helped Michael Barlow (27 possessions) and Tendai Mzungu (20 disposals, two goals) form a dominant midfield.
Adelaide's Brodie Martin kicked three goals, Josh Jenkins and Lewis Johnston both booted two and defenders Matthew Jaensch and Richard Tambling were among the Crows' best with 18 possessions each.
