The left-back suffered the injury last month shortly after returning to make his first appearances since succumbing to the second ACL injury of his career, which he suffered back in September 2023.
He first underwent surgery for the hamstring injury shortly after sustaining it in October 2023, but suffered a setback in August 2024 that saw him undertake surgery for a second time.
Brentford, who visit West Ham on Saturday, originally feared he would miss all of the current season when the second surgery to produce a new tendon repair did not entirely cure his pain, but Hickey is now finally on the mend.
The Scotland international has missed 16 months of action with a severe hamstring injury he suffered back in October 2023.
Fellow full-back Rico Henry is close to returning to full training following a 10-day recovery period from a hamstring injury.