Moq and SqlConnection?

I'm writing unit tests for one of our products and have been used Moq to successfully mock connections to entity framework. However, I've come across the following method:

public static productValue findValues(string productName, string dbConnectionString)
{
    try
    {
        SqlConnection conn = new SqlConnection(dbConnectionString);
        conn.Open();
        //Do stuff 
    }
}

Which accesses our database inside that method using a passed connection string. Is it possible to setup a mock DB using Moq and create a connection string which points to the mocked DB? I've trying doing something along the lines of

var mockSqlConnnection = new Mock<SqlConnection>();

Though I'm unsure if this is the correct approach, as this would mock the connection itself rather than the DB.