Lyon, who is just four games short of playing 100 Tests, has captured 390 wickets so far, the most by any Australian off-spinner.
Included in the Australia A squad for the two warm-up games against India, Swepson is now hoping to get a chance to bowl to Kohli and company.
India vs Australia: Aussies would need to work hard to win Test series despite Virat Kohli's absence, says Nathan Lyon
India captain Virat Kohli will leave after the opening Test in Adelaide as he has been granted paternity leave by the BCCI to be with his actor wife Anushka Sharma for the birth of their first child in early January.
Australia confirm limited-overs tour of England; Glenn Maxwell, Nathan Lyon recalled to squad by Aussies
Australia were originally scheduled to play three one-day and three Twenty20 matches against England in July, but the trip was postponed due to the coronavirus pandemic.
Nathan Lyon rates India-Australia Test series at par with Ashes, says players keen to avenge 2018-19 loss
Star Australia off-spinner Nathan Lyon on Wednesday said that a Test series against India is equivalent to the Ashes and come December, their team will be come out all guns blazing to avenge the series defeat of 2018-19.
Australia spinner Adam Zampa is dreaming of earning the coveted 'Baggy Green' after moving back to New South Wales, where he can sharpen his skills by playing alongside country's top Test pick Nathan Lyon.
Shane Warne says spin bowling in Australia going downhill because of less match exposure to spinners
Warne, one of the greatest leg-spinners the game has produced, said there is a dearth of quality spinner who can fill in the shoes of Nathan Lyon and urged CA to ensure that states include a spinner in every Sheffield Shield game.
ICC's recommendation of appointing local umpires for Test cricket will be 'huge challenge' for inexperienced Indian officials
With S Ravi dropped from the ICC elite panel of umpires last year, there is no Indian in the premier category from which match officials are usually picked for Tests.
Ravichandran Ashwin, Nathan Lyon and Yasir Shah lack adequate variations to survive in ODIs, says Mushtaq Ahmed
Former Pakistan leg-spinner Mushtaq Ahmed said the ever-increasing role of power-hitting in the modern one-day game has made mystery spinners more valuable than the conventional ones.
Veteran India spinner Harbhajan Singh rejected the perception that he is jealous of Ravichandran Ashwin, saying the Tamil Nadu bowler is a "legend in the making".
CA include Marnus Labuschagne in contracted players list of 2020-21 after breakout year; Usman Khawaja dropped
The value of each contract is still uncertain because of the coronavirus pandemic which has forced Cricket Australia to furlough the bulk of its staff.
New Zealand pacer Matt Henry's county contract with Kent mutually withdrawn due to COVID-19 pandemic
New Zealand pacer Matt Henry's contract with Kent Cricket for the first seven matches of this season's County Championship has been mutually withdrawn due to the rapidly-spreading COVID-19 pandemic.
Coronavirus Outbreak: Australia cricketers Nathan Lyon, Mitchell Starc wonder how Virat Kohli will 'rev up crowd' in empty stadiums
India are set to play a four-match Test series in Australia later this year, but with the COVID-19 pandemic wreaking havoc, speculation is rife that the games could be held behind closed doors
Paine was handed the job in 2018 after then-captain Steve Smith was banned for 12 months for his part in a ball-tampering scandal in South Africa.
Nathan Lyon has upstaged R Ashwin as world's best off-spinner, says former Australian player Brad Hogg
Ravichandran Ashwin is a prolific performer but former Australia chinaman bowler Brad Hogg feels that fellow countryman Nathan Lyon has upstaged the Indian tweaker as the best off-spinner in longest format.
'The Test' review: Docu-series on Australia men's cricket team is entertaining, but it could have been much more
The Test is an entertaining, binge-worthy series about Australia men's cricket team trying to find a new identity under a new coach (Justin Langer) while also coping with the rigorous demands of winning matches across the globe.
After rain interruption, Sydney Sixers returned to defend 117, and quick Josh Hazlewood, spin duo Nathan Lyon and Steve O’Keefe mowed down Melbourne’s top order to effectively seal the match.
Four-day Tests debate: Virat Kohli, Sachin Tendulkar, Ricky Ponting and other cricketers divided about new ICC proposal
Virat Kohli, Ricky Ponting, Sachin Tendulkar and other leading names from the sport react on the new ICC proposal to cut down the five-day format to four days.
Sachin Tendulkar has vehemently opposed the International Cricket Council's proposed idea of "four-day Test", urging the governing body to refrain from "tinkering" with a format in which the spinners come into play on the final day.
Australia vs New Zealand: Kiwis' strong reputation left in tatters after being swept away by relentless hosts
Australia exposed New Zealand's weaknesses, forcing the team to head back across the Tasman with their reputation in tatters.