Middle-order strokeplayer Maxwell has scored eight and five and taken 0-47 in the first two matches of the five-game ODI series against Sri Lanka.
The 24-year-old offspinner is yet to claim a victim in six ODI games since making his debut against Afghanistan in August 2012 but remains central to Australia's plans.
Maxwell was part of Australia's squad for the Sydney Test against Sri Lanka in early January but wasn't named to make his debut.
However he's in contention for the Test tour of India in February-March as a batsman who bowls a bit, according to Inverarity.
"He's is a very exuberant, enthusiastic person whose patience is not usually to the fore," Inverarity said on Monday of Maxwell, who is a brilliant fieldsman and has been dubbed Australia's x-factor by coach/selector Mickey Arthur.
"He has learnt that (patience) very well. When he's getting an opportunity he's showing signs of improvement," Inverarity said.
"He's not a frontline spinner. He's a batsman who bowls.
"We are looking for batsmen who can bowl decently."
Inverarity says he wants Maxwell to play the type of role opening batsman Tillakaratne Dilshan does for Sri Lanka with his part-time spin which has claimed 36 Test wickets and 67 victims in ODIs.
"We need allrounders. We're really trying to groom Glenn Maxwell as a spin-bowling allrounder, (there's) an obvious interest there for India," Inverarity added.