If your myopia has really worsened recently, then no, you should not undergo LASIK. Otherwise there is a high risk of becoming myopic again shortly after your LASIK procedure.
Note that there is a small margin of error when measuring spectacle power, due to factors such as subjective responses to 'is this clearer or is that clearer' questions by the optometrist, distance of trial frame from the face, lighting conditions, etc.
Therefore a small difference of eg 0.25D is probably not significant.
To definitively answer the question of whether you are eligible for LASIK, you should get a copy of your refraction records over the past few years and visit a LASIK doctor for a comprehensive assessment.
