It is unlikely to cause high blood pressure, though not unheard of. When it does it is mild. In fact it is more likely (though still rare) to cause mild low blood pressure.
It can lower sodium levels so you should not take hypertension treatments like diuretics.
The drug is from the class of selective serotonin reuptake inhibitors. The 'reuptake' refers to activity of the nerves in the brain. By stopping the serotonin from being 'cleared' after release at the nerve ends, it hangs around longer to exert a beneficial effect on mood.
If you have notice that your blood pressure is raised, you should see your doctor.