We study the notion of weak canonical bases in an NSOP
$_{1}$ theory T with existence. Given
$p(x)=\operatorname {tp}(c/B)$ where
$B=\operatorname {acl}(B)$ in
${\mathcal M}^{\operatorname {eq}}\models T^{\operatorname {eq}}$, the weak canonical base of p is the smallest algebraically closed subset of B over which p does not Kim-fork. With this aim we firstly show that the transitive closure
$\approx $ of collinearity of an indiscernible sequence is type-definable. Secondly, we prove that given a total
$\mathop {\smile \hskip -0.9em ^| \ }^K$-Morley sequence I in p, the weak canonical base of
$\operatorname {tp}(I/B)$ is
$\operatorname {acl}(e)$, if the hyperimaginary
$I/\approx $ is eliminable to e, a sequence of imaginaries. We also supply a couple of criteria for when the weak canonical base of p exists. In particular the weak canonical base of p is (if exists) the intersection of the weak canonical bases of all total
$\mathop {\smile \hskip -0.9em ^| \ }^K$-Morley sequences in p over B. However, while we investigate some examples, we point out that given two weak canonical bases of total
$\mathop {\smile \hskip -0.9em ^| \ }^K$-Morley sequences in p need not be interalgebraic, contrary to the case of simple theories. Lastly we suggest an independence relation relying on weak canonical bases, when T has those. The relation, satisfying transitivity and base monotonicity, might be useful in further studies on NSOP
$_1$ theories .