Calling T SQL Stored Proc From CLR Stored Proc

I would like to know if the following is possible/permissible:

myCLRstoredproc (or some C# stored proc)
{
//call some T SQL stored procedure spSQL and get the result set here to work with

INSERT INTO #tmpCLR EXECUTE spSQL
}

spSQL
(

INSERT INTO #tmpABC EXECUTE spSQL2
)


spSQL2
(
// some other t-sql stored proc
)


Can we do that? I know that doing this in SQL server would throw (nested EXECUTE not allowed). I dont want to go re-writing the spSQL in C# again, I just want to get whatever spSQL returns and then work with the result set to do row-level computations, thereby avoiding to use cursors in spSQL.