Morel–Voevodsky’s unstable pointed motivic homotopy category H_●(k) over an infinite perfect field is considered. For a smooth affine scheme Y over k, a smooth ind-scheme F_l(Y) and an open subscheme E_l(Y) are constructed for all l > 0, so that the motivic space F_l(Y)/E_l(Y) is equivalent in H_●(k) to the motivic space Ωℙ1∞∑ℙ1∞(Y×Tl),T=(A1/A1−0),l>0. The construction is not functorial on the category of affine schemes but is functorial on the category of so-called framed schemes constructed for this purpose.