I don't think 0.96 $\mu$Sv/h or 365.25 $\times$24 24 $\times$0 0.96 = 8.5,415 microsieverts/year is a problem. To put this in perspective,
- Every year, we receive natural radiation : 2,000 microsieverts
- CT scan : 7,000 microsieverts
- Additional radiation in a life time for those living around Fukusima : 10,000 microsieverts
- US radiation worker in a year : 50,000 microsieverts
- Astronaut in the International Space Station for 6 months : 80,000 microsieverts
- In a smoker's lung in a year : 160,000 microsieverts
Therefore, don't worry about the amount of radiation leaking from your lab. It is very very small.
P.S. I get this number from a Veritasium's video called "The Most Radioactive Places on Earth".