Automated Outreach Software Inquiry

As a recruiter, a significant part of my role involves sourcing the right talent and reaching out to them via LinkedIn. However, I’ve noticed that the response rate for these messages tends to be quite low. To improve this process, I’m considering automating the initial outreach: using a job description to identify suitable candidates on LinkedIn and then sending them an automated message.

I only want to engage further once I receive a response from the candidates. Is there any software available that can help with this?