"He is in a critical but stable condition and is now conscious", the hospital said in a statement on Tuesday.
Police have said their working theory is that the couple's exposure to the poison was linked to a recent attack on ex-Russian spy Sergei Skripal and his daughter Yulia.
Basu told reporters the priority was to determine how Sturgess and her partner, 45-year-old Charlie Rowley who is critically ill, came across an item contaminated with Novichok, developed by the Soviet military during the Cold War.
Britain has blamed Russian Federation for the attack on the Skripals - a charge strongly denied by Moscow which has challenged British authorities to publish the evidence.
"We have seen a small but significant improvement in the condition of Charlie Rowley", Director of Nursing at Salisbury District Hospital Lorna Wilkinson said.
Sturgess's family paid tribute to the mother of three, calling her "a gentle soul who was generous to a fault". Sturgess died in hospital on July 8 while Rowly remains in critical condition.
A Wiltshire Police spokesman said: "We have arranged the transportation of a vehicle from an address in Swindon this evening in relation to the on-going incident in Amesbury".
Chief Medical Officer Dame Sally Davies said people in the Amesbury and Salisbury area should not "pick up any foreign object which could contain liquid or gel, in the interests of their own safety".
Ms Sturgess, 44, lived in Salisbury, and the couple had been in the city before going to Mr Rowley's flat in nearby Amesbury on Friday 29 June.
Ms Sturgess, who had a daughter aged 11 and two sons aged 19 and 23, had...
Police seized a auto in Swindon on Monday as part of their ongoing investigation into the poisoning.
Ms Sturgess collapsed at about 10:15am and was taken to hospital in an ambulance and Mr Rowley was taken to hospital later that day.
Wiltshire Police tweeted Monday that the auto was being "safely" removed and reminded the public that the risk of contamination with the agent was low.
Scotland Yard's counter-terrorism command said: "Officers from the investigation team have spoken briefly to Charlie and will be looking to further speak with him in coming days as they continue to try and establish how he and Dawn came to be contaminated with the nerve agent".
Rescue mission day two : four more boys evacuated
The second phase of a rescue operation has ended for the day, with more than half of the Thai soccer team rescued from the cave. Thailand officials have not released the names of the boys rescued, so as not to upset the parents of any child still trapped.
How Arsenal Transfer News Affect Their Odds to Win?
Other players rumored to be destined for Arsenal include; Sokratis Papastathopoulos, from Borussia Dortmund, and Saul Niguez. If they are rumored to buy an elite player, during the transfer window, they play well which increases the odds of winning.