The 24-year-old made his first competitive outing of the year at the Manchester Indoor Open Meetings at Sport City on Sunday as he stepped up his preparations for a potentially packed summer season.
The World Athletics Championships, which were delayed by 12 months, are set to take place in July followed by Birmingham 2022 later that month and into August before the European Championships begin just one week later.
And 400m specialist Thompson, who represents City of Sheffield and Dearne Athletic Club and balances sprinting with a full-time career in accountancy, could potentially take part in all three events.
"We are quite happy with the way things are progressing,” his coach John Henson said.
"Lee’s in a good place and we are just working for the next three months to try and improve some aspects we have identified.
"We might try and do all three, but it’s a big ask.”
He is sitting out much of the indoor season to concentrate his efforts on this summer, but still came within 50 milliseconds of a new personal best 600m time last weekend.
“We will do a couple of events just to test the training out,” added John.
"If he ran a poor time then we would know there were some things needing changing in the programme but it went really well.”