Reservoirs have experienced the largest weekly rise in levels for more than 30 years, according to Yorkshire Water.
Heavy rainfall during the past week meant the amount of water in storage increased by 14.8%, and overall capacity is now at 45.6%.
However, the water company warned the reservoirs remained "well below" the 69.6% average for this time of year.
The hosepipe ban therefore remains in place and will be in effect until reservoir and groundwater levels have recovered.
In the last week, the largest inflow of water was seen at Scar House Reservoir in Nidderdale, which had more than three billion litres added.
At Grimwith, in the Yorkshire Dales, there were more than 2.7 billion litres of inflow. Langsett, in South Yorkshire, saw more than 900 million litres and Digley in West Yorkshire had more than 750 million litres.
Dave Kaye, director of water services at Yorkshire Water, said: "The rainfall we've seen over the last seven days has had a significant impact - the largest weekly increase in stocks we've seen in 30 years.
"The rain over the last seven days has also recharged groundwater and the region's rivers.
"The recharge of the rivers means we can enact our drought orders and permits to allow the reservoirs maximum recovery."
However he added that while the increase in reservoir and groundwater stocks was positive and very welcome after the driest summer on record, stocks were still "well below where they should be at this time of year".
"We hope the reservoirs and groundwater will continue to recover through the autumn and winter months so we're in a good position entering 2026," Mr Kaye said.
"Despite the relief of the rainfall, we are continuing our efforts to tackle more than 800 leaks per week and lay over 1,000km of new water pipes over the next five years."
He said restrictions would be removed "as soon as they were able to".
BBC climate correspondent Paul Hudson said the latest reservoir figures would come as a "huge relief" to Yorkshire Water.
"Yorkshire Water will have had one eye on the last serious drought in 1995, when the dry weather continued well into autumn and reservoirs fell so far that emergency supplies of water were tankered into the county from Kielder Reservoir in Northumberland," he said.
"But this weekend's deluge has been a game changer."
Mr Hudson added that Pateley Bridge in North Yorkshire had recorded 70mm of rain in 24 hours at the weekend, which made it the wettest place in the country.
"It has resulted in what can only be described as a huge 15% rise in reservoir levels to 46%," he said.
"The biggest weekly rise in over 30 years still leaves them well below the average for this time of the year - and the hosepipe ban will remain for some time to come - but it is a big step forward for the region's water supply and undoubtedly a big relief to Yorkshire Water."