Italian Citizenship

My grandparents were both born in Italy. My grandmother came to American and became a US citizen with my grandfather following a couple of years later. My grandfather arrived in the US in 1961, had my mother in 1962, and received his US citizenship in 1963.

According to what I have read, I can do the following:

4) Your mother was born in the United States, your maternal grandfather was an Italian citizen at the time of her birth, you were born after January 1, 1948 and neither you nor your mother ever renounced your right to Italian citizenship.

My mother was born in the US and had me in the 80's. What I am reading is that I can become an Italian citizen simply by applying because my grandfather was an Italian citizen when my mom was born. However, I have also come across this:

Citizenship jure sanguinis has no generational limit (provided the Italian ancestor was born after 1861) but may not, under any circumstances, SKIP generations.

MY QUESTION: With my grandfather being an Italian citizen when my mother was born in America, can I become an Italian citizen? Or will my mother have to apply and become a citizen before I can?