A pulse of 120 is not uncommon and should not be the only factor when considering your health status. An irregular pulsse is more worrisome then a regular pulse and other symptoms associated with your pulse such as chest pain, shortness of breath, fainting, dizziness should urge you to see a doctor sooner.
Preeclampsia does not present till much later in pregnancy and can not be predicted by your current pulse.
I would continue to monitor things and see your doctor sooner if any other symptoms develop otherwise a regular follow up in 1-2 weeks should be sufficient.
These Q&A’s are for educational purposes and should not be relied upon as a substitute for medical advice you may receive from your physician. If you have a medical emergency, please call 911. These answers do not constitute or initiate a patient/doctor relationship.