Limit for FOUND_ROWS()?

I'm trying to speed up some SQL queries. My SQL query on pagination is like this (3rd page):

SELECT 
    SQL_CALC_FOUND_ROWS book_id, book_title
FROM
    books
LIMIT 40, 60

And then getting all result count:

SELECT FOUND_ROWS();

But if the result count is huge (milions of books) then FOUND_ROWS() can took very long time.

The fact is that there is no need to count milions of rows (books) and the answer "10000+" is enough for usual user.

Is possible something like this? Pseudocode:

SELECT FOUND_ROWS(LIMIT 10000)