Urgent Care in San Jose CA Instant Urgent Care. Health (3 days ago) Urgent Care in San Jose, CA. Urgent care services including STD testing, lab testing, injury treatment, and seasonal care are all available at our San Jose walk-in clinic and urgent care center! At Instant Urgent Care, patients can visit us at 5138 Monterey Highway, Suite G to our walk-in clinic for a variety of immediate care ....