Usually, the rejection degradation caused by so-called signal pick-up. It means that the signal have an alternative way to pass through other than the filter. It may be through the air or PCB.
In such cases you shoud consider carefully your PCB or the box in which your SAW filter has been mounted. Try to keep the input and output lines far. If the pick up would be through air, improvement of VSWR makes the condition better. If loss is not important put a T or Pi attenuator in both sides to improve the condition.
Based on experience , many times you will not be able to meet the specs in datasheet. so I strongly recommend that improve the condition by testing different cases and in design always set a margin from what datasheets are saying.
this problem is more complex, depend on you layout, at first y should check your circuit using the VNA,check the it is good match or not ,this can be done check the S11 and S22, then y should check the ground is good or not, then check the sapce isolation is goo or not , if above thing is good ,i think the result shall be agree with the datasheet!