The Tigers opened talks with an interested party in May.
They have been up for sale since 2014, after the Football Association turned down owner Assem Allam's request to change their name to Hull Tigers.
It has been a tough summer for Hull, who have just 13 fit players because of injuries, and whose manager Steve Bruce was a candidate for the England job.
Bruce was interviewed on Monday for the England post, which is set to go to Sunderland's Sam Allardyce.
A club statement said: "Whilst the owners intend to continue discussing a sale to interested parties in September, the priority for the coming weeks is strengthening the squad ahead of the start of the new Premier League season, particularly given the number of injuries sustained to key players during pre-season."
Hull - who won promotion back to the top flight in May - open the Premier League season by hosting champions Leicester on Saturday, 13 August.

But without it, fruit and vegetable crops can't grow properly, and for that reason, farmers are concerned that the UK is having the driest winter in 20 years.
Rivers in Cumbria have been drying up, and the levels of water stored in reservoirs in Cornwall are getting very low.
At the moment, though, the UK isn't thought to be having a drought.
In April the weather was especially dry - the country saw less than half the amount of rain it normally would.
Some farmers, especially those in the south and east of the UK, said there was only 10% of the rainfall they expected to see in March and April.
But if normal levels of rain fall during May and June, they say it will put many crops back on track, although some crops like spring barley probably won't recover completely.
Last month the driest area across the UK was Edinburgh, in Scotland. It saw 7% of its average rainfall.
Southern counties in England, including Kent and Sussex, were also quite dry. They had around 20% of the rain normally expected for April.
It looks like things might be looking up for the farmers soon, with some wetter weather expected this weekend.
To make things confusing, there are several different types of drought.
One type of drought depends on how long it's been without rain, and if there is below the average rainfall for that season.
Another type looks at the reduced flow of water in rivers.
But if you are a farmer, then your main worry is something called an agricultural drought - when there isn't enough water around to be able to water fruit and vegetable crops.
The Environment Agency manages the levels of water stored in UK reservoirs.
They are asking everyone to use water wisely - for example, turning off the taps when you're brushing your teeth.
It's working with water companies, businesses and farmers to make things better for people and the environment should the dry weather continue.
Water companies will also give tips on how to make sure you aren't wasting water, if they think water saving measures are needed.
Hull have put takeover talks on hold until September to "ensure stability during the transfer window".
[NEXT_CONCEPT]
Wet weather is not something most of us want to see.