1. Question to ask yourself: Do you trust the agent? Licensed Real Estate Agents and REALTORs have to adhere to ethical standards and represent material facts appropriately. If you do not trust the agent you shouldn't be working with them. However, If you do trust the agent but believe you need someone representing your interests on the transaction then you may want to investigate if you can get another agent.
Remember that you may have already given this agent personal information which may put you at a disadvantage in dealing with this property (for instance a max budget number... may be harder to negotiate a lower price).
2. Do you have a written agency agreement with the agent? Here in NC we can work on a verbal basis but there is no exclusivity in a verbal agreement. But you could be locked into working with that agent if you have a signed agreement. I believe a good agent and firm would work with the client to either have another agent within the firm represent your interest or allow you to terminate in order to achieve the sale.
3. Are you willing to walk away from the property if you feel you will not be adequately represented or be at a disadvantage?
Proceed as follows"
1. Communicate your understand the conflict of interest regarding an agent representing both sides of the transaction.
2. You want to PROTECT your existing agent and keep your relationship pristine.
3. Ask your existing agent to recommend an agent.
You'll be good to go and your agent will truly appreciate your concern.
Even if you did sign one that just means you agreed to use the company that agent works with. The broker of the office can assign you another agent to be your agent. That is called designated agency.
If you signed nothing then get your own agent.