Ajmal was banned by the International Cricket Council (ICC) for an illegal bowling action in part of a major crackdown from cricket's governing body.
Without Ajmal, Pakistan have failed to cause significant problems for Australia with their spin options.
And the tourists - who won the sole Twenty20 clash - hold an unassailable 2-0 lead in the three-match one-day series.
That makes Sunday's clash in Abu Dhabi a dead rubber - but Maxwell knows his side will have to play well to win again.
"It [series] definitely hasn't been won easy," Maxwell said.
"Pakistan did pretty well to get to 215 [in game two]. I thought it was quite a difficult wicket. I thought our bowlers bowled really well to keep them to that.
"He [Ajmal] has taken a lot of wickets in international cricket. He's obviously been rated as the number one bowler for a while.
"I suppose what we're seeing now is they're obviously having a crackdown on suspect actions which is obviously playing into our hands a lot more.
"We play a lot of conventional spinners in Australia. We're able to dominate them and now that we're seeing the unconventional spinners being basically eradicated from the game, it's going to play into our hands a little bit more as well."
While Shahid Afridi and Zulfiqar Babar have caused slight problems for Australia in the two completed one-day clashes, they will hope to have more of an impact in the third and final clash.
Pakistan will also be worried by their batting collapses, which have plagued them in both defeats.
For Australia, they could use the chance to give Mitchell Starc a game - the left-armer has not featured in the series so far.
But coach Darren Lehmann may be swayed by his Test dilemma, with all-rounders Maxwell and James Faulkner set to be vying by the spot vacated by the injured Shane Watson - if Mitchell Marsh is not fit.
Faulkner was added to the Test squad at the conclusion of Friday's one-day win.
Maxwell is in arguably better form, though, and hit 76 in Australia's successful chase in that match.