The poll is a statistical tie when it comes to voting intentions for the two main parties, and puts the Liberal Democrats on 8%.
Labour may have a slight advantage over the Conservatives, but in the 21st century of 24/7 media, leadership matters too.
The previous YouGov poll put May on 36% and Corbyn on 33%, suggesting that the gap is widening, although more polls over time will have to be conducted to see if this is a trend.
Overall, May was damaged by June’s election, but the fact she is preferred to Corbyn adds to the case for her remaining in power. A new Tory leader would likely have a brief honeymoon period, but in the long-run would run the risk of performing poorly.
With numbers like this, May looks secure.