According to the BMG Research poll for The Independent newspaper, 27 percent of respondents were not satisfied with May's response.
The poll was conducted on April 10-13 among 1,562 respondents.
Skripal and his daughter Yulia were found unconscious on March 4 on a bench at a shopping center in the UK city of Salisbury. London accused Moscow of orchestrating the poisoning of the former intelligence officer with the A234 nerve agent. Russia refuted the allegations.
READ MORE: UK Reportedly Considers Attacking Computer Network Amid Skripal Probe
Soon after the incident, London announced the expulsion of 23 Russian diplomatic workers. Over 25 countries have since expelled Russian diplomats "in solidarity" with London.