Left-hander Lehmann, the son of Australian coach Darren, smashed scores of 103 and 93 in South Australia’s JLT Sheffield Shield clash with Victoria at the MCG to press his case for an Ashes debut.
Veteran teammate Callum Ferguson also reminded Test selectors of his capabilities with a timely 182* in his 100th first-class outing. Ferguson played his one and only Test to date against South Africa in Hobart last year.
West End Redbacks skipper Travis Head also notched 67 runs from 136 balls in the first innings against the Bushrangers.
A host of batsmen are vying for a place in the opening test against England in two weeks’ time at the Gabba, including Western Australian pair Hilton Cartwright and Shaun Marsh, Victorian Glenn Maxwell and uncapped Blue Daniel Hughes.
Harris, who now serves as a High Performance Coach with Cricket Australia, said Lehmann could prove tough to ignore if his rich Shield form continued.
“He made 90 in the second innings of that Shield game and if he makes another one, scores a hundred if not two, he has to be talked about,” Harris said on Tuesday.
“I think it would be quite funny to have two Lehmanns in the one place at the one time!
“Someone said if Jake got into the Australian team Darren would quit, but we don’t want to lose another coach before the Ashes.
“If he (Jake) is there he has deserved it.”
Harris, who played 27 Tests for his country and claimed 113 wickets, will take charge of a Cricket Australia XI side to tackle England in a four-day day/night tour match at Adelaide Oval beginning on Wednesday.
Young South Australian off-spinner Michael Cormack will be the sole Redback in action in the visitors’ penultimate tune up ahead of the opening Ashes Test at the Gabba.
England's final tour match will take place in Townsville from Wednesday, 15 November.
“It’s pretty important for them (England) with the day/night fixture,” Harris said.
“I don’t think they’ve played too much day/night cricket, especially with the Kookaburra ball. I’m sure they’ll find it interesting.
“For our blokes, it’s about opportunity.
“It’s a good opportunity for them against some pretty good opposition to show what they can do.
“We’re not here to make it easy for England. We want to make sure it’s a tough prep going into a big series.
“Your warm up games can set the tone for the tour. You don’t want to lose.”
The clash begins from 2pm on Wednesday, 8 November at Adelaide Oval with free entry for 2017-18 SACA Members. Adult ($10) and concession ($5) tickets are also available. Children aged under 15 receive free entry.