In the 2011 international season he and Schofield won two silver medals at World Cups 1 and 2 at Poznan and Racice and retained their K2 200m title at the European Championships in Belgrade in June 2011.

At the ICF Canoe Sprint World Championships in Szeged in August they won the silver medal, thereby gaining qualification for the GB K2 boat in the Men's 200m event at the 2012 Olympics.

A fortnight later Heath and Schofield took part in the London Invitational Olympic Canoe Sprint test event at Eton Dorney where they won the bronze medal in the K2 200m.

[12] At the National Regatta in Nottingham in April 2012 Heath and Schofield met GB Canoeing's K2 200m nomination criteria to compete in the 2012 Summer Olympiad.

[13] In the inaugural men's K2 200m Olympic event at London 2012 Heath and Schofield secured a bronze medal in the final at Eton Dorney on 11 August 2012, just edged out of the silver by the Belarus team.

Two months later at the World Championships in Duisburg the pair came second behind the Russians Postrigay and Dyachenko and were part of the fourth placed GB men's 4 × 200 m team.

As a result, Heath was selected to compete in the K1 200m for the first time in a senior international event at the ICF World Cup 2 in Racice in the Czech Republic, where he won the silver medal 0.033 seconds behind Mark de Jonge.

However, Heath chose to remain in the South, training at Dorney Lake and Bisham Abbey with the assistance of Tim Brabants' former coach, Eric Farrell.

[25] The make-up of the crew was unconventional, inasmuch as it consisted of four short-distance paddlers, but its performance gradually improved over the season achieving fourth place in the B Final of the World Championships in Montemor O Velho, Portugal.

[26] At the end of the 2018, after discussions with GB Canoeing and his family, Heath decided to return to competing at 200m with the aim of defending his Olympic title at Tokyo 2020.

After Winter training at Dorney Lake, Bisham Abbey and the Wey Kayak Club with coach Eric Farrell, Heath was selected for the GB Canoeing squad at the national regatta at Holme Pierrepont in late April.

[27][28] At the 2019 ICF Canoe Sprint World Championships held in Szeged, Hungary, Heath regained his K-1 200m title thereby qualifying Team GB to enter a boat in the Men's event at the 2020 Tokyo Olympics.

Heath did not have the opportunity to race until the Senior Squad Selection regatta at the Holme Pierrepont National Watersports Centre in April 2021 at which he set a new 200m course record of 34.03 seconds.

[36] Liam did not travel to Barnaul in Russia for World Cup 2 and was one of only two British paddlers to compete at the European Championships in Poznan at the beginning of June where he won silver in the men's K1 200m, 0.022 seconds behind Sándor Tótka.

[37] At the 2020 Summer Olympics held in Tokyo in 2021 Liam won a bronze medal in the K-1 200 metres event behind Hungary's Sandor Totka and Italian Manfredi Rizza.