When using a LINQ Where clause on a Dictionary, how can I return a dictionary of the same type?

I'm currently using the following code to achieve this, but is seems there should be something better... suggestions? It just seems to me there should be a way to skip the foreach...

Dictionary<string,string> getValidIds(Dictionary<string,string> SalesPersons,List<string> ids)
{
    Dictionary<string,string> o = new Dictionary<string,string>();
    var ie = SalesPersons.Where<KeyValuePair<string, string>>(t => ids.Contains(t.Key));
    foreach (var i in ie)
    {
        o.Add(i.Key, i.Value);
    }
    return o;
}