John Swinney will address MSPs over a legal challenge to information sharing proposals within the Act.
The system would appoint a named person - usually a teacher or health visitor - to ensure the wellbeing of every child.
But judges at the UK's highest court ruled against the scheme in July 2016, citing concerns over information sharing.
The Supreme Court judges said some proposals breached rights to privacy and a family life under the European Convention on Human Rights.
However, the court said the aim of the Act, which is intended to promote and safeguard the rights and wellbeing of children and young people, was legitimate.
Speaking ahead of his statement to the Scottish Parliament, Mr Swinney said the Scottish government remained "absolutely committed" to the Named Person service as a way to support children and their families.
"Last year the Supreme Court ruled definitively that the intention of providing a Named Person for every child to promote and safeguard their wellbeing was 'unquestionably legitimate and benign'," he said.
"Their judgement did, however, require us to change the provisions relating to information sharing.
"Since the judgement, we have undertaken an intensive period of engagement with children, young people, parents, carers, practitioners and professionals.
"I will now update parliament on the next steps in this vital means of supporting, safeguarding and promoting the wellbeing of our children and young people."
The judges said in July that specific proposals about information-sharing were "not within the legislative competence of the Scottish Parliament".
And they said the legislation made it "perfectly possible" that confidential information about a young person could be disclosed to a "wide range of public authorities without either the child or young person or her parents being aware".
The appeal was brought by the No to Named Persons (NO2NP) coalition, which includes the Christian Institute, Care (Christian Action Research and Education), Tyme Trust and the Family Education Trust.
The Scottish government has said previously it would not commence the legislation until the problems were fixed.

They begin at home to Hampshire on Friday, 7 July and finish at home to Middlesex on Friday, 18 August.
All their home T20 matches will be played in Cardiff with six out of seven games played under floodlights.
The team will make a first-ever trip to Arundel to face Sussex in their first away fixture, on Sunday, 9 July.
The new schedule marks the first time that T20 games will not be interspersed with other formats.
The changes are designed to minimise players having to adapt back and forth between formats, and to maximise crowd appeal in better weather.
The quarter-finals of the competition will be played between 22 and 25 August with Finals Day at Edgbaston on Saturday, 2 September.
Glamorgan were quarter-finalists in the T20 competition in 2016, finishing second in the South group before losing to Yorkshire.
Glamorgan T20 fixtures in 2017:
7 July: Hampshire (h)
9 July: Sussex (a)
15 July: Somerset (h)
16 July: Essex (a)
21 July: Sussex (h)
23 July: Essex (h)
25 July: Gloucestershire (a)
28 July: Surrey (h)
30 July: Kent (a)
3 August: Gloucestershire (h)
4 Aug: Surrey (a)
10 Aug: Hampshire (a)
13 Aug: Somerset (a)
18 Aug: Middlesex (h)
The deputy first minister is due to make a statement on the Scottish government's Named Person scheme later.
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Glamorgan will play all their T20 Blast matches in a 43-day block in summer 2017 after a revamp of the county cricket fixture schedule.