This was followed by the West Midlands, with 48% of landlords reporting an increase in demand.
In contrast, just 10% of landlords in Central London outlined a rise in tenant demand.
Despite a rise in demand, 64% of landlords said they have no plans to change rental prices, 15% said they will increase rents and 9% intend to lower them.
In addition, landlords said they felt more confident about rental yields, their capital gain, the UK private rented sector and their own letting business than they did during the same period in 2019.
Overall, 35% of landlords rated the prospects for their own lettings business as good or very good during Q4 2020, compared to 30% in the previous quarter and 31% during the same period in 2019.