Barton was chief executive of Bond for a just over a year until April, when she stood down for personal reasons.
"My remit for the past year was to put Bond on the right road after a period of change, and I am proud that I leave the organisation in a position of strength," she said at the time.
Barton, who before joining Bond spent nine years at the Department for International Development, will be questioned by MPs on the House of Commons International Development Committee as part of a pre-appointment hearing in parliament this afternoon.
The ICAI scrutinises UK aid spending and reports to parliament through the International Development Committee or its ICAI sub-committee.
At the hearing this afternoon, Barton is expected to be asked about her experience and vision for the ICAI.
It is extremely rare that candidates put forward for such positions do not go on to be confirmed in the role even if MPs vote against their appointment, as in the case of the current Charity Commission chair Baroness Stowell.