Polls also have good news for the government, with the two-party preferred gap narrowing and the budget well-received.
Labor continues to hold a 51-49% two-party lead in the wake of last week's budget.
Shorten gave his budget reply speech in less-than-favourable circumstances on Thursday night.
Labor holds its two-party preferred lead over the Coalition, but recent momentum has been with the incumbent government.
Malcolm Turnbull may have lost 31 consecutive Newspolls, but the latest result shows a narrowing between the two major parties, and the Coalition's best performance since September 2016.
Up to now, both government and opposition were anxious to stay in step.
Despite the government's 30th Newspoll loss under Malcolm Turnbull, this week's polls have been a mixed bag for both sides.
The Coalition braces for the next Newspoll, while a redistribution gives Labor reason to smile, and the Batman byelection results are finalised.
Labor has capitulated to pressure to exempt pensioners from its plan to end cash refunds for dividend imputation credits.
Labor retains a 53-47% unchanged two-party lead in the latest Newspoll.
'Super Saturday' had positive spin-offs for both federal leaders, but substantially more for Bill Shorten than Malcolm Turnbull.
The failure to wrest Batman is a big setback for the Greens.
Michelle Grattan speaks with Lawrence Pratchett about this weekend's elections.
There are undoubtedly advantages for unions in terms of access and policy influence by having former officials as MPs.
Both male and female participants were in favour of more women in parliament, and pointed to the value of more diverse opinions than just those of 'middle-aged white male lawyers'.
Labor sources are talking down the chances of Ged Kearney in Batman, though the party is not writing off the seat.
Politics podcast: the Batman byelection battleground.
On Saturday, Labor and Bill Shorten face a major test in the Melbourne seat of Batman.
Michelle Grattan speaks with Deep Saini about the week in Australian politics.
Adani is being seen as a test of Bill Shorten's commitment to policy integrity versus his willingness to say and do whatever is politically expedient.
The reality is that Bill Shorten is, in many ways, a garden-variety centre-left leader.