Spanish to English Other History

Hi,

I wonder can anyone help me with finding an accurate translation of "la zona baja e inmediata de la fortificacion" in the following sentence.

"...el castillo dejará de tener funciones militares, lo que permitió que la población torreña se desplazase a la zona baja e inmediata de la antigua fortificación. "

They're talking about the Castillo de Torre del Mar.

I have translated it provisionally as "the area below and next to the old fortification" but I'm not quite sure if this is capturing the meaning of the original.

Thank you so much!