As part of BBC Scotland's coverage, leader Ruth Davidson will take part in a half-hour webcast in which she will answer your questions.
You might want to find out what she would do with Holyrood's new tax powers or how the Conservative's approach to education differs from other parties.
This is also your opportunity to quiz her on Europe, health, policing, crime and the state of Scotland's economy.
If you have something to ask Ms Davidson, email newsonlinescotland@bbc.co.uk
Please put "webchat questions" in the message field of your email.
You will be able to watch the one-to-one interview, hosted by BBC Scotland political editor Brian Taylor, via BBC Scotland's politics website.
The Scottish Conservative Party will be holding its spring conference in Edinburgh on Friday.